Publications

of L.N. Vaserstein


Abstract journals: MR = Math. Reviews by Amer.Math.Soc.     Z = Zbl = Zentralblatt Math. by Springer.  R Zh= Ref. Zhurn. Mat. (Russian abstract journal). 

Other spellings for the last name: Vasershtein, Wasserstein, Waserstein, Vasserstein,  Vaseršteǐn, Vassershtejn,  Vasershtejn,  Васерштейн, Вассерштейн. 

http://www.math.psu.edu/vstein/publications.html
 

1.  Subgroups of finite index of spinor groups of rank  ≥  2,
   
Mat. Sbornik  75:2 (1968), 178-184 = Math. USSR Sbornik 4, pp.161-166.
   
MR 37#1475. Z247.20050. RZh 1968.11A324.   1.25.67.


2.  The congruence subgroup problem for unitary groups of rank ≥  2,
   
Mat.Sbornuk 76:3 (1968), 362-367 = Math.USSR Sbornik 5 , pp. 351-355.
   
MR 37#5301Z256.20063.  RZh 1969.4A359.   7.17.67.


3.  On groups satisfying the property  T,
  
Funk.An. 2:2 (1968), p.86,
  
MR 37#4200. Z232.20087.  RZh 1968.12A333.    12.24.67.



4.  Stabilization in algebraic K-theory and the congruence subgroup problem  for   classical groups,
   
Dissertation, 28 pages, Moscow State University, 1968.
   
Defended April  11,   1969.


5.  Stabilization in algebraic K-theory and the congruence subgroup problem
  
for  classical  groups,   Abstract of Dissertation, Moscow State University Press, Moscow 1969,
  
7 pages.  12.04.68.


6.  On stabilization in algebraic K-theory,
   
Funct. Anal. 3:2 (1969), 85-86 = Funct.Anal.Appl. 3 , 153-154.
   
MR 42#1910. Z208 p.44. RZh 1969.10A215.  10.25.68.


7.  On the congruence subgroup problem for classical groups,
  
Funk.Anal. 3:3 (1969), 88-89 = Funct,. Anal.Appl. 3, 244-246.
    MR 41#1894Z279.20037. RZh 1969.12A512.   11.12.68.


  8.   K1-theory and the congruence subgroup problem,
   
Mat.Zametki 5:2 (1969), 233-244 = Math. Notes 5, 141-148.
     MR0246941 (40 #210)    MR 42 p.1823.     Z177.04301. Z195.32202.                                   RZh 1969.7A320.   12.23.67.


9.  On stabilization for general linear groups over a ring,
  
Mat. Sbornik 79:3 (1969), 405-424 = Math. USSR Sbornik 8, 383-400.
    MR 42#1911Z238.20057.  RZh 1969.12A487.   12.12.68.



10.  Markov processes on countable space products describing large systems of   automata,
Probl.Pered.Inform. 5:3 (1969), 64-72 = Probl. Inform.Transm. 5:3, 47-52.
MR0314115 (47 #2667)
  Z273.60054. RZh 1970.2V388.    2.24.69.
Cited in 33 publications in Math Reviews including  51 #7055    |  50 #1326  |  48 #7324   | 
Wasserstein distance or metric:  |   472  references in MR with Wasserstein anywhere (excluding one with Wasserstein-Robbins); 16 with Vasershtein.
681  results 
from ISI Web of Knowledge   (Science Citation Index Expanded  only)  with Wasserstein in topic; 6 with Vasershtein.


11.  (with A.Leontovich) On  invariant measures of Markov operators
 
describing  a  homogeneous  random medium,
 
Probl.Per.Inform. 6:1 (1970), 71-80 = Probl. Inform. Transm. 6:1, 61-69.
 Z306.60043. MR0530400  (58 #26621)  RZh 1970.10V49.    3.27.69.


12.  Stabilization for unitary and orthogonal groups over a ring with involution,
Mat.Sbornik 81:3 (1970), 328-351 = Math. USSR Sbornik 10, 307-326.
MR 42#4617
. Z253.20066. RZh 1970.7A365.   1.29.69.


13.  (with A.Mikhalev) On normal subgroups of orthogonal groups over rings
 
with  involution,
 
Algebra i Log. 9:6 (1970), 629-632 = Algebra & Logic, pp.375-377.
 
MR 44#2844. Z239.20059. RZh 1971.9A337.   4.21.70.


14.  The stable range of rings and the dimension of topological spaces,
 
Funk.Anal. 5:2 (1971), 17-27  = Funct.An.Appl. 5, 102-110.
 MR 44#1701
. Z239.16028 RZh 1971.12A482.   4.16.70.

cited in 62 publications in Math Reviews


15. On even unimodular lattices, App. to "Torelli's theory for algebraic
surfaces of type K3"  by  I.I. Piatetski-Shapiro and I.R.Shafarevich,
 
Izv. Akad.Nauk, ser.mat. 35 (1971), 530-572,   pp. 561-564.
MR 44 #1666
Z253.14006. cited in 65 publications in Math. Reviews


16. (with Z.V.Tsuypenko, V.I.Chmil, E.B.Sherman) An experiment of posing and
solution of    a non-linear many-extremal problem in development and
allocation of industrial production,
Electrotechnical Industry, General, 388 (1971)    (in Russian).


17  (with Sherman) A many-extremal problem of development and allocation
with concave   objective function,
Abstracts of Talks, The First Conference on Optimal Planning and  Control
in Economy,    Central Econom.-Mat. Instit. Moscow, 1971.


18.  (with A.N.Parshin) Translation of "Basic Number Theory" by A.Weil,
 
"Mir", Moscow,  1972, 408 pages,
 MR 50#4525
. Zbl 0238.12001


19.  On the group SL2 over Dedekind rings of arithmetic type,
 
Mat.Sbornik  89:2 (1972), 312-322 = Math. USSR Sbornik 18, 321-332 (1973).
 MR 55#8253
. Z359.20027. RZh 1973.2A369.   12.13.71.


20.  (with Gemintern, Sherman) Methods of solution of problems in
development and allocation  of manufactoring (in Russian),
 
"INFORMELECTRO", Moscow, 1972, 44 pages.  7.01.71.


21.  (with Sherman) An algorithm for approximate solution of a
multi-extremal problem of    development and allocation of  manufactoring,
Electrotechn. Industry, General (1972) 14, pp.11-13 (in Russian).



22.  Structure of the classical arithmetic groups of rank > 1,
 
Mat.Sbornik 91:3 (1973), 445-470 = Math. USSR Sbornik 20, 465-492 (1974).
 MR 50#2357
. Z277.14018, Z291.14016. RZh 1973. 12A382.     5.27.71.


23.  (with Rudnev, Sherman) Parametric models of optimization of advanced
sectoral planning,    Electrotechnology 11 (1975), 57-60 (in Russian).


24.  Foundations of algebraic K-theory,
 
Uspekhi Mat.Nauk   28:2 (1973), 231-232.
 Z264.16016.
RZh 1973.10A324.


25.  Foundations of algebraic K-theory,  Abstract of Address to Moscow Math.
Soc., Uspekhi Mat.Nauk  28:4 (1973), p.203.



26. Stabilization for classical groups over rings,
 
Mat.Sbornik 93:2 (1974), 268-295 = Math. USSR Sbornik 22, 271-303.
 MR 49#2974
. Z287.18015, Z305.18007. RZh 1974.9A454.   6.01.71.


27.  (with A.A. Suslin) Serre's problem on projective modules over
polynomial rings and   algebraic K-theory,
Funk. An. 8:2 (1974), 65-66 = Funct.Anal.Appl. 8, 148-150.
MR 50#303
Z293.13007.  RZh 1974.10A336.  Sem.Bourbaki No. 448.    11.28.73.


28.  (with Chmil, Sherman) A multi-extremal problem for growth and
allocation of production   with a concave objective function,
in Math. Methods in Economical Research , "Nauka",  Moscow,  1974, pp.138-143.
MR 53#15379
.    2.08.72.


29.  (with co-authors) Methodology of elaboration of optimal plans for
development,     specialization, and placing of manufactoring in electric
industry,
 
"INFORMELECTRO",  Moscow,  1974,  116 pages.    12.12.73.


30  (with co-authors) Problems of advanced planning in electric industry,
"INFORMELECTRO",  Moscow,  1974,  96 pages.    6.18.74.



31. (with A.A. Suslin) Serre's problem on projective modules over polynomial
rings,  Abstract of Address to Moscow Math. Soc.,
Uspekhi Mat.Nauk 30:5 (1975), p.193.


32. On stabilization for the Milnor functor  K2,
Uspekhi Mat.Nauk 30:1 (1975), p.224.
MR 53#8198
. Z326.18009. RZh 1976.9A326.


33.  (with Sherman) On formation of variants in discrete problems of optimal
sectoral planning,    Economics and Mat. Met. 11:4 (1975), 669-680.



34.  (with A.A. Suslin) Serre's problem on projective modules over
polynomial rings and  algebraic K-theory,
Izv.Akad.Nauk, ser.mat. 40:5 (1976), 993-1054 = Math.USSR Izv. 10:5, 937-1001.
MR 56#5560
.   Z338.13015, Z379.13009. RZh 1972.2A459.     4.4.75.


35.  Foundations of algebraic K-theory,
Uspekhi Mat.Nauk 31:4 (1976), 87-149 = Russian Math. Surveys 31:4, 89-156.
MR 55#458
. Z356.18015, Z359.18015. RZh 1977.1A374.     2.26.75.


36.  (with Pavlova) An optimization experiment in advanced planning of
manufactoring,    development, specialization, and placing in electroceramics industry,
Electr. Industr. General 5 (444) (1976), 19-21.



37.  (with Rudnev, Sherman) Parametric models of development and placing of
manufactoring,    Economics and Mat. Met. 13:5 (1977), 1008-1021.


38.  (with Sherman) Problems of formation of variants for development and
specialization of   industrial plants in optimal sectoral planning,
"INFORMELECTRO", Moscow, 1977, 76 pages.


39. (with Rudnev,  Sherman) Parametric models of optimization in advanced
sectoral   planning,
"INFORMELECTRO", Moscow, 1978.



40. On systems of particles with finite-range and/or repulsive interactions,
Commun.Math.Physics  69 (1979), 31-56.
Physics Abstracts 83 (1980) #37. Physics Briefs 2 (1980), 17535.



41. On the normal subgroups of  GLn  over a ring,
 
in Springer Lecture Notes in Math.  #854, 1981 (Algebraic K-theory), pp.454-465.
 MR 83c 20058
.    Z464.20030.


42. On full subgroups in the sense of O'Meara,
 
J. Algebra  75 (1982), 437-444.
 MR 83c 20051
.     Z488.20035.  RZh 1982.11A312.     4.10.81.


43. Book review of  "Recurrence in ergodic theory and combinatorial  number
theory"
 
by  H.Furstenberg and  "Rudiments of Ramsey theory"  by R.L. Graham,
 
Bull.  London Math.Soc. 14 (1982),  458-460.


44. Classical groups over rings,
 
Abstracts of papers presented to A.M.S.  3:2 (1982),  p.164.


45. (with B.Magurn,  R.Oliver) Units in Whitehead groups of finite groups,
 
Prep.Ser. Aarhus Univ. 27 (1982),  56 pp.
  Z482.18005
.  RZh 1982.11A314.


46.  On K1-theory of topological spaces,
 
Abstracts of papers presented to A.M.S.  4:7 (November 1983), 524-525.


47.  (with B.Magurn,  R.Oliver) Units in Whitehead groups of finite groups,
 
J. Algebra  84:2 (1983),  324-360.
 Z517.16011
. MR 85a:18015.  RZh 1984.3A488.   2.15.82, 9.29.82.


48. (with R.K.  Dennis,  B. Magurn)  Generalized Euclidean group rings,
 
J.Reine Ang. Math.  351 (1984),  113-128.
 MR 85f:16012
Z527.16007.   RZh 1985.1A484.


49. (with  C.Matthews,  B.Weisfeiler) Congruence properties of
 
Zariski -dense  subgroups, I,
 
Proc.London Math.Soc.  48:3 (1984),   514-532.
 MR 85d:20040
Z551.20029.  RZh 1984.12A449.     5.9.83, 9.20.83.


50.  (with R.Herman) The stable range of C*-algebras,
 
Invent. Mathem. 77:3 (1984),  553-555.
 MR 86a:46074
Z559.46025. RZh 1985.6B821.


51. Bass's first stable range condition,
 
J.Pure Appl.Algebra  34:2-3 (1984), 319-330.
 MR 86c:18009
Z547.16017.  RZh 1985.8A442.


52. Classical groups over rings,
 
Canad.Math.Soc.Confer.Proc.  v.4 (1984),  131-140.
 MR 86d: 20056
.   Z577.20033.



53. On normal subgroups of the general linear groups over Banach  algebras
 
and von Neumann  regular rings,
 
Abstracts of A.M.S. 6:2  (1985),  p.185.


54. Computation of K1  via Mennicke symbols,
 
Abstracts of A.M.S. 6:2 (1985), p.185.


55. On arithmetic subgroups of simple algebraic groups,
Linear Algebra Appl. 72 (Dec.1985), 93-96.
MR 87b:22023
.   Z594.20038.  RZh.1986.8A459.


56.  On full subgroups of Chevalley groups,
 
Tôhoku Mathem.J.  37:4 (1985), 423-454.
 MR 87b:20058.    Z598.20051.  RZh.1986.8A457.


57.  Quadratic forms over rings of continuous functions,
Abstracts of  Conf. on  "Surgery and  L-theory" ,
Oberwolfach, March 17-23, 1985,  p.11.



58. On catching a moving particle by narrow strips,
 
Geometr. Dedicata  20:2 (1986), 143-146.
MR 87g:52020
.    Z586.51017.  RZh.1986.9A646.


59. Normal subgroups of the general linear groups over von Neumann  regular rings,
 
Proc.  Amer. Math. Soc. 96:2 (1986), 209-214.
 MR 87g:16020
.   Z594.16007.  RZh.1986.10A207.


60. On normal subgroups of Chevalley groups over commutative rings,
 
Tôhoku Mathem.J.  38:2  (1986),  219-230.
 MR 87k:20081
Z578.20036. 


61. Vector bundles and projective modules,
 
Trans. Amer. Math. Soc. 294:2 (1986), 749-755.
 MR 87c:18010
Z592.55012.  RZh. 1986.11A.652.


62. Operations on orbits of unimodular vectors,
J. of Algebra 100:2  (1986), 456-461.
 MR 87j:13018
. Z592.20053.  RZh. 1986.11A.481.


63.  On K1-theory of topological spaces,
 in Amer. Math. Soc. Cont. Math. 55 (1986),  729-740
 MR 87m:18025
Z594.18013.


64.  (with R.Swan)  On absolute stable range of rings of continuous functions,
 
in Amer. Math .Soc. Cont. Math. 55 (1986),  689-692.
MR 88f:18017
Z592.18006.


65. (with R.Herman) K1  of compact operators is zero,
 
in Geometric Methods in Operator Algebras,
 
Proc. of US-Japan Sem.(Kyoto, July 1983), Pitman,1986, p.237-241.
 MR 88f:46135
Z641.46046.


66.  (with J.Anderson) Commutators in ideals of trace class operators,
Ind. Univ. Math. J.  35:2 (1986),  345-372.
MR 87f:47025
.   Z602.47032.


67. Normal subgroups of the general linear groups over Banach  algebras,
 
J. Pure Appl.  Algebra  41:1 (1986),  99-112.
 MR 88a:18023
Z589.20030.


68.  (with T.Bridges) The local evaluation of the derivative of a determinant,
 
J. of Comput. Physics    65:1 (July 1986), 107-119.
MR 87h:65074
.   Z593.65028.  RZh. 1986.12B1578.


69. Every integral matrix is the sum of three squares,
Linear and Mult. Algebra   20(1986), 1-4.
MR 88e:15009
Z603.10050.


70.  (with W.Thurston) On K1-theory of the Euclidean space,
Topology and Appl. 23:2 (July 1986), 145-148.
MR 87m:18023
Z611.18007.


71.  The subnormal structure of general linear groups,
Math. Proc. Cambridge Phil. Soc. 99:3 (1986), 425-431.
MR 87k:20080
Z601.20046. RZh.1986.9A172.


72.  An answer to the question of M. Newman on matrix completion,
Proc. Amer. Math. Soc.  97:2 (1986), 189-196.
MR 88e:18012
Z601.15011.    RZh.1986.12A441.



73. Computation of  K1  via Mennicke symbols,
Commun.in Algebra  15:3 (1987),  611-656.
MR 88m:18019
Z614.16018.


74.  On the sum of powers of matrices,
Linear and Mult. Algebra  21:3 (1987),  261-270.
MR 89a:15016
.   Z637.10041.
 

75.  Waring's problem for algebras over fields,
 
J.  Number Theory  26:3 (July 1987),  286-298.
MR 89e:11059
Z624.10049.


76.  Waring's problem for commutative rings,
 
J. Number Theory   26:3 (July 1987),  299-307.
 MR 89e:11060
.


77. (with B.A. Magurn)  Prestabilization for K1 of Banach algebras,
 
Linear Algebra  95  (Oct.1987),  69-96.
MR 89c:16034
. Z629.20021.  RZh. 1988.5A360.


78.  Normal and subnormal structure of classical groups over rings,
 
Abstract of talk   at  conference  in Bejijng,  May 1987.  6 pages.
 

79. (with R.K. Dennis) On a question of M. Newman on the number of
 
commutators,
 
J.  Algebra   118:1 (1988), 150-161.
 MR 89k:20062
Z649.20048.


80.  Every integer is a sum or difference of 28 integral eighth powers,
 
J. Number Theory  28:1  (1988), 66-68.
 MR 89f:11139
Z634.10042. R.Zh. 1989 7A122.


81. Structure of gauge groups,  Abstract  in "Algebraic K-theory" ,
 
Oberwolfach, June 5-11, 1988,  p.5.


82.   Subnormal structure of the general linear groups over  Banach algebras,
 
J. Pure Appl. Alg. 52 (1988), 187-195.
MR 89i:18008
.   Z653.20050.


83.  Normal subgroups of classical groups over Banach algebras,
 
Comm.Math. Helv.  63:1  (1988), 103-107.
 MR 89f:46105
.   Z708.46047.  R.Zh.1988.8A411.


84.  Normal subgroups of orthogonal  groups over commutative rings,
 
Amer. J. Math.  110:5  (1988), 955-973.
MR 89i:20071
Z654.20052.


85. Reduction of a matrix depending on parameters to a diagonal form by
 
addition operations,
 
Proc. Amer. Math. Soc. 103:3 (1988), 741-746.
 MR 89h:18015
Z657.55005.


86. (with B. A. Magurn and W. van der Kallen)  Absolute stable rank and Witt
 
cancellation for  noncommutative rings,
 
Inv.  Math.  91:3 (1988),   525-542.
 MR 88m:18017
Z639.16015.


87.   On the best choice of a damping sequence in iterative optimization methods,
 
Publ. Matem.  Univ. Aut. Barcelona  32 (1988), 275-287.
MR 90d:90077
Z657.90100.


88.  (with G.Dafni) Matrix zeros of quadratic polynomials.
 
J.Number Theory   30 (1988),  27-50.
 MR 89j:13008
. Z657.13005.



89.   Normal subgroups of gauge groups,
 
in  Classical groups and related topics,
Amer. Math. Soc. Cont.Math., 82 (1989), 199-220
MR 89m:22001
.   Z679.22013.


90.  Linear algebra and algebraic  K-theory,
 
in  Classical groups and related topics,
Amer. Math. Soc. Cont.Math., 82 (1989), 191-198.
 MR 89k:18025
Z669.15001.


91.  Non-commutative number theory,
in Algebraic K-theory and algebraic number theory,
Amer. Math. Soc. Cont. Math.  83  (1989), 445-449.
MR0991989 MR 90d:11033 Z666.10032.


92.  Normal subgroups of classical groups over rings and gauge groups,
in Algebraic K-theory  and algebraic number theory,
Amer. Math. Soc. Cont. Math.  83  (1989), 451-459.
 MR 90e:20041
Z676.20025.


93.  Normal subgroups of symplectic groups over rings,
K-theory  2  (1989),  647-673.
MR 90f:20064
.   Z669.20040.


94. (with R.K. Dennis)  Commutators in linear groups,
K-theory   2  (1989), 761-767 .
 MR 90h:20045
. Z676.20024.


95.  (with P.Menal) On subgroups of  GL2 over non-commutative local rings
 
which are normalized by elementary matrices,
Math. Ann.  285:2 (1989), 221-231.
MR 90k:20085
Z662.20039.
 


96.  On normal subgroups of GL2 over rings with many units,
Composito Mathematica  74 (1990), 157-164.
 MR 91j:19004
Z697.20040.


97.  The subnormal structure of general linear groups over rings,
Math. Proc. Cambridge Phil.  Soc.  108:2 (Sept. 1990), 219-230.
MR 92d:20064
Z711.20030.


98.  (with P.Menal) On the structure of GL2 over stable range one rings,
J. P. A. Algebra  64:2 (June 1990), 149-162.
MR 92a:20058.
  Z702.20037.


99.  (with E.Wheland) Factorization of invertible matrices over rings of
 
stable rank one,
 
J. Australian Math. Soc.  A48 (1990), 455-460.
 MR 91d:15028
Z705.15004.


100.  (with E.Wheland) Commutators and  companion matrices over rings of
 
stable rank 1,
 
Linear  Algebra  142 (1990), 263-277.
 MR 92a:19002
. Z713.15003.


101.  I. I. Piatetski-Shapiro, my advisor and friend,
 
in  Israel Proc. Math. Conf. vol. 2 (1990),  p. 1-4.
 MR 93g:01089b
.   Z0699.01028.
 

102. (with Grunewald and Mennicke) On symplectic groups over polynomial rings,
Math. Zeitschrift 206:1 (1991), 35-56.
MR  92a:19001
Z725.20038.


103.   On sums of cubes in polynomial rings,
Mathem. of Computation   56 (1991) , 349-357. 

MR 91e:11106 Z711.11013.


104. (with P.Menal) On subgroups of  GL2 over Banach algebras and von
Neumann regular rings  which are normalized by elementary matrices,
J. Algebra    138:1 (1991), 99-120.
MR 92h:16009
.   Z724.20034.


105.  (with C. Byrne)  An improved algorithm for finding saddlepoints of
two-person  zero-sum games,  Game Theory,   20:2 (1991), 149-159.
MR 93b:90113
.   Z754.90067.


106.   Unstable K1-theory of topological spaces is nilpotent,
in Algebraic  K-theory, Commutative  Algebra, and Algebraic Geometry,
Amer. Math. Soc. Cont. Math. 126 (1992), 193-196.
MR 93c:19002
. Z762.19002.


107. Ramsey's theorem and the Waring's problem for algebras over fields,
 
pp. 435-442 in Proceedings of workshop "The Arithmetic of Function Fields,"
1991,Ohio State University, Walter de Gruyter Verlag, 1992.
MR 94a:11155
. Z817.12002.


108. (with G. Payne) Sums of three cubes,
pp. 443-454 in Proceedings of workshop "The Arithmetic of Function Fields"    1991,  Ohio State University,  Walter de Gruyter Verlag,  1992.
MR 93k:11090
. Z799.11039.


109. (with F.A. Arlinghaus) Work of Pere Menal on normal subgroups,
 
Publ. Matem.  Univ. Aut. Barcelona  36 (1992), 389-400.
MR 94k:20085
. Z790.20064.


110.  (with E.Wheland)  Products of conjugacy classes of two by two matrices,
 
Abstracts of "Algebraic K-theory" conference in Oberwolfach,
 
June 27-July 3, 1993, page 22.


111. (with Yu. Lyubich)  Isometric embeddings between classical Banach
 
spaces, cubature formulas, and spherical designs,
 
Geom. Dedicata   47:3 (Sept. 1993), 327-362.
MR 94j:46017
Z785.52002.


112. (with F. Grunewald and  J.Mennicke)  On the groups  SL2(Z[x]) and   SL2(k[x, y]),
 
Isr. J.  Math., 86:1-3 (1994), 157-194.
 MR 95h:20061
. Z805.20042.


113. (with W. Conn)  On sums of three integral cubes,
 
in Proceedings of Radamacher Conference, Penn State Univ. 1992,  AMS Cont. Math. 166 (1994), 285-294.
MR 95g:11128
. Z808.11075.

PSU Report No. PM 131  March 1992 10 pages. scanned to 

http://www.math.psu.edu/vstein/113P.pdf 


114.  (with F.A. Arlinghaus  and H. You) Normal subgroups of classical groups
 
over von Neumann regular  rings,
 
Journal of Algebra   169:3 (1994), 863-873.
 MR 95k:20082
. Z819.20052.
 

115. (with F.A. Arlinghaus and H. You) Products of involutary matrices
 
over stable range one rings,
 
Linear Algebra  229:1 (1995), 37-48.
MR 96f:15015
Z836.15006.


116. (with E.Wheland)  Products of conjugacy classes of two by two matrices,
 
Linear Algebra 230 (1995), 165-188.
MR 96j:20061
. Z840.20040.


117. (with F.A. Arlinghaus and H. You) Commutators in psueudo-orthogonal  groups
 
J. Austral. Math .Soc.   Sr.A  59:3 (1995), 353-362.
MR 96c.20094
Z847.20042.


118. (with H. You ) Normal subgroups of classical groups over rings,
 
J.P. Appl. Algebra   105:1 (1995),  93-106.
MR 96k:20096
. Z843.20037.


119. (with coauthors) Solving quadratic equations over polynomial rings of characteristic two,
Publ. Math. Barcelona 41:1 (1998), 131-142.
MR 99e:13030
Z915.13017.


120. (with E. Wheland) Rigid relations in SL(2),
Linear Algebra Appl. 28:1-3 (1998), 25-31.
MR 99f:20076
.     Z944.20028.


121. On recollections of Yu.Suhov, in the book `R.L.Dobrushin, To 70th Birthday,'
Editorial URSS, Moscow 1999 (in Russian), pp.64-65. 
(AMS  Translations--Series 2, Advances in the Mathematical Sciences Volume: 198 , 2000.) [http://www.iitp.ru/ru/about/432.htm in Russian]
Z0954.01014
.



122. (with  E. Wheland)  Two-dimensional representations of the free group in
two generators over an arbitrary field,
Linear Algebra, 307 (2000), 145-150.
MR 2001c:20013
.   Z1007.20021.


123. Quantum (abc)-theorems,
J. Number Theory 81:2 (2000), 351-368.
 MR 2001d:11039
.    Z990.11015.


124. (with R. Gar-El)  On the Diophantine equation  a³+b³+c³+d³ = 0,
J. Number Theory, 94:2  (June 2002),  219-223.
dvi 
   | ps | pdf | MR 2003d:11039 Z1031.11015.
 

125. (with E.R.Wheland), Vanishing polynomial sums,
Comm. Algebra, 31:2 (2003), 751 - 772.
dvi 
    | ps | pdf | TeX |   MR1968922 .     Z1073.12001.

 

126. Introduction to Linear Programming,  Prentice Hall, 2003. 

Publication Date: November 17, 2002 | ISBN-10: 0130359173 | ISBN-13: 978-0130359179 |
title page: ps | pdf ||  copyright page:  ps | pdf ||  contents&preface: ps | pdf || student's manual: ps | pdf |
Chinese translation by Mechanical Industry Publishing House,  ISBN: 7111173295 .

 

127. (with L. Gallardo and E. Wheland) Berlekamp's discriminant and cubic equations in characteristic two,
JP Journal  of Algebra, Number Theory and Appl., 2:3 (2003), 169-178.
Z1061.11070
.   MR1999157.
 

128. On the Whitehead determinant for semi-local rings,   Journal of Algebra  283:2 (2005), 690-699.
ps
| pdf .      Z1059.19002 .  MR2111217.


 
129. (with U. Onn and A.Prasad)  A note on Bruhat decomposition of GL(n) over local principal ideal rings
Communications in Algebra,  34  (2006),  no. 11, 4119--4130. 
MR2267575
.     Zbl 1112.15020.    arXiv GR/0506094 [abs, ps, pdf, other]

 

130. (with L. Gallardo and O. Rahavandrainy)  
Representations of polynomials over finite fields of characteristic two as  A2+ A + BC + D3,   
Finite Fields and Their Applications., 13 (2007), 648-658.        

Zbl 1127.11079 .          MR2391463.  MR2332492.

 

 

131. Linear Programming, Chapter 50 in Handbook  of Linear Algebra, Chapman & Hall/CRC Press, 24 pp.
(October, 2006) # ISBN: 1584885106.  amazon

MR2279160 (2007j:15001) Zbl 1122.15001


132. (with S. Frisch) Parametrization of Pythagorian triples by a single triple of polynomials,  J. P A Alg. 212 (2008), 271-274.
 arXiv:0706.0290 [ps, pdf, other]       MR2391463         MR2355049       Zbl 05201873

 

133. (with M. Car, L. H. Gallardo, O. Rahavandrainy) About the period of Bell numbers modulo a prime, Bull Korean Math. Soc., 45:1 (2008), 143-155.
MR2391463 
.  Zbl 1195.11034

 

134. Polynomial parametrization  for the solutions of Diophantine equations   and
arithmetic groups , Annals of Math.  171:2 (March of 2010),   979–1009.  abstract

MR2630059. Zbl 05712747


135. (with L. Gallardo) The strict Waring problem for polynomial rings, 
J. Number Theory
128 (2008), no. 12,  2963--2972.
MR2464848.
    Zbl 05486357 

 

136. (with  Nir Avni, Uri Onn, Amritanshu Prasad)     Similarity classes of 3x3 matrices over a local principal ideal ring
Comm. in Algebra    37:8 (2009),    2601--2615.   

MR2543507.   Zbl 1176.15013


137. (with L.Gallardo) Sums and strict sums of biquadrats in Fq[t],  Rocky Mountain Journal. 40: 6 (2010), 1863-1874. 

Zbl 05837630. MR2764225  

 

138. (with    R. T. Farouki  and   T. Sakkalis )  Non-existence of rational arc length parameterizations for curves in Rn ,
Journal of Computational and Applied Mathematics 228:1 (2009), 494-497.   

MR2514307.    Zbl 1166.53002


 

139.  (with S. Frisch  and   T. Sakkalis)   Polynomial parametrization of Pythagorean tuples.,   Int. J. Number Theory.Vol. 6 (6) (2010), 1261-1272.
Zbl 05802994MR2726581

 

140. Book review: Additive Combinatorics by T.Tao and V.H.Yu, SIAM Review 92:1 (March 2010), p.215-216.

MR2650678



141.  The stable rank of pullbacks, J. of Algebra. Volume 410, 15 July 2014, Pages 239–243

MR3201051



142. (with S.Frisch) Polynomial parametrization of Pythagorean quadruples, quintuples and sextuples,  

Journal of Pure and Applied Algebra 216 (2012) 184–191.

MR2826432 (2012k:11035). Zbl 1273.11053




143. Linear Programming, Chapter 68 in Handbook  of Linear Algebra, Chapman & Hall/CRC Press, 24 pp. Second Edition 2013

Publication Date: November 26, 2013 | ISBN-10: 1466507284 | ISBN-13: 978-1466507289 | Edition: 2


144. (with L. Gallardo) CONSTANTS AS SUMS OF POLYNOMIAL CUBES IN CHARACTERISTIC 2 

Journal of Combinatorics and Number Theory 5:1 (2013) , 1-9.

Zbl 06242291   MR3113617


145. (with L. Gallardo)  Polynomial parametrization of the integer matrices with given determinant

Journal of Pure and Applied Algebra . 218,:2 (2014,), 321 - 322.

Zbl 1273.11053  MR3120632 



--------------------------

preprints


Reduction of Linear Programming to Linear Approximation, 3 pp,   
arXiv:math/0602339
[ps, pdf, other] 15 Feb 2006.


Matrix Games, Linear Programming, and Linear Approximation, 5 pp. 
arXiv:cs/0609056
[ps, pdf, other]      abstract 12 Sep 2006.


(with  Nir Avni, Uri Onn, Amritanshu Prasad)     Similarity classes of 3x3 matrices over a local principal ideal ring

arXiv:0708.1608 [ps, pdf, other]    13 pp. Submitted on 12 Aug 2007. published [136]


Linear Approximation, Matrix Games, and Linear Programming, 35 pp.

Bounded reduction of invertible matrices over polynomial rings by addition operations, 12 pp.


----------------------


http://ecommons.cornell.edu/handle/1813/15167
Interview conducted in August of 1980 by Dynkin.


Five  talks at Gelfand seminar in 1972 (2/14, 3/6, 3/13, 10/13, 10/19), notes by A. Kirillov.  L.N. Vasserstein. http://www.mccme.ru/gelfand/notes/by-author-000158.html#begin


A problem in Quant

Задачник <Кванта> по математике pdf

http://www.problems.ru/view_by_source_new.php?parent=162603&start=20



-----------Translations -----------


Besides the book translation [18] above from English to Russian, I translated many articles, including 


MR0244257 (39 #5574)      Bass, H.; Milnor, J.; Serre, J.-P.  Solution of the congruence subgroup problem for ${\rm SL}_{n}\,(n\geq 3)$ and ${\rm Sp}_{2n}\,(n\geq 2)$.  Inst. Hautes Études Sci. Publ. Math. No. 33 1967 59--137.  14.50 (20.00)  

(translated from the English by L. N. Vaseršteĭn) Matematika 15:1  1971 (pp. 44–60)     MR0429414 (55 #2431)


MR0272790 (42 #7671) Serre, Jean-Pierre Le problème des groupes de congruence pour SL2. (French) Ann. of Math. (2) 92 1970 489–527. 14.50. 

(translated from the French by L. N. Vaseršteĭn) Matematika 15:6 1971  (pp. 12–45)    MR0339966  (49 #4723)


and  24 translations from Russian to English, see  loca link.   


----- Reviews ------


198 reviews in Math Reviews by L.Vaserstein
.
645 reviews in Zentralblatt  Mat.  by L.Vaserstein;  

here are additional 92 scanned reviews (local link) .

Numerous reviews in Ref. Zh. Mat. by Vaserstein; 

partial list of 62 articles local link.


------ Citations -----


154  papers (local link)  with Wasserstein,Vaserstein, Vasserstein, or Vasershtein in title from Math Reviews.
258 other papers and preprints (local link, mostly from google scholar)   with    Wasserstein,Vaserstein, Vasserstein, or Vasershtein in title.

1049 reviews in Math Reviews with Wasserstein (494),Vaserstein (533), Vasserstein (5), Vasershtein (16), or Vassershtein  (1)  anywhere.

1422 reviews in Zentralblatt Math. with Wasserstein (580),Vaserstein (823), Vasserstein (6), or Vasershtein (13) anywhere.
283 preprints   with Wasserstein in  arXiv.org

11 preprints with Vaserstein in arXiv.org

3 preprints with Vasershtein in arXiv.org
690+ 28+5+6  results from ISI Web of Knowlege with Wasserstein, (including Wendy (17), Bernard (3) Bruce (2); 466 in math, 34 in physics, 46 history) Vaserstein, Vasserstein, or Vasershtein in topic

More than 1000 books (local link, mostly from google books) mentioning my name including books on differential equations, statistics, computing, computer vision, networks, probability, sociology, physics, optimization, data analysis, actuarial theory, health science, life sciences, quantum field theory.

number of citations (local link)

-------------

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