Preprints and Accepted Papers

Last Update: 9/5/2014   back to  PSU Algebra & Number Theory

 

George Andrews

See also http://www.math.psu.edu/andrews/preprints.html


Basis partition polynomials, over partitions and the Rogers-Ramanujan identities, (accepted) by J Approximation Theory,  the issue honoring Richard Askey). 285.pdf

Bailey pairs with free parameters, mock theta functions, and tubular partitions. (accepted, Annals of Combinatorics).  295-b.pdf

 (with A. Fraenkel and J. Sellers) Characterizing the number of  m-ary  partitions modulo a prime m.  (accepted  by Amer. Math. Monthly.). 300.pdf

 (with K. Alladi) The dual of Göllnitz's (big)  partition theorem.  (accepted by the Ramanujan Journal). 297.pdf

Knots and q-series. (accepted), Proceedings of Ramanujan 125 Conference, University of Florida, November 5-7, 2012.  294.pdf

(with S. H. Chan, B. Kim, and R. Osburn)  The first positive rank and crank moments for overpartitions.  (submitted).  299.pdf

(with J. Sellers) Congruences for the Fishburn numbers. (submitted).  302.pdf

Singular Overpartitions. (accepted by the Intern. Jour. of Number Theory).  303.pdf

 (with M. Beck and N. Robbins)  Partitions with fixed differences between largest and smallest parts.  (accepted by Proc. Amer. Math. Soc.). 305.pdf

Bressoud polynomials, Rogers-Ramanujan type identities, and applications. (submitted).  304.pdf

(with K. Bringmann and K. Mahlburg)  Double series representations for Schur's  partition function and related identities.  (submitted). 301-041514.pdf



W. D. Brownawell


·   MR1916653 (2003g:11080) Brownawell, W. Dale; Papanikolas, Matthew A. Linear independence of gamma values in positive characteristic. J. Reine Angew. Math. 549 (2002), 91–148. (Reviewer: David Goss), 11J93 (11G09 33E50).   preprint dvi

 


Donald James


·   MR1717297 (2000i:11060) James, Donald G. Bianchi groups and integral quadratic forms. Group theory (Beijing, 1996), 69–79, Springer, Singapore, 1998. (Reviewer: Christine Bachoc), 11E57 (11E12 11F06 20H10). preprint dvi.

·   MR1732356 (2001a:11060) James, Donald G. Primitive local densities for unimodular quadratic forms. Integral quadratic forms and lattices (Seoul, 1998), 129–134, Contemp. Math., 249, Amer. Math. Soc., Providence, RI, 1999. (Reviewer: Hidenori Katsurada), 11E08. preprint  dvi.

 


Wen-Ching Winnie Li


  "In search of Randomness: Distribution of eigenvalues", (Proc. of "Various aspects of mathematics", Hong Kong 1996).

·   MR1732102 (2001f:11151) Chai, Ching-Li(1-PA); Li, Wen-Ching Winnie(1-PAS) Function fields: arithmetic and applications. (English summary) Applications of curves over finite fields (Seattle, WA, 1997), 189–199, Contemp. Math., 245, Amer. Math. Soc., Providence, RI, 1999.  11M38 (11L05 11R58). preprint

·   MR1691542 (2000h:11123) Li, Wen-Ching Winnie(1-PAS) Eigenvalues of Ramanujan graphs. Emerging applications of number theory (Minneapolis, MN, 1996), 387–403, IMA Vol. Math. Appl., 109, Springer, New York, 1999.  11T60 (05C50 11F25 11L05) . preprint dvi

·   MR1671665 (2000b:11100) Li, Wen-Ching Winnie Character sums over p-adic fields. J. Number Theory 74 (1999), no. 2, 181–229. (Reviewer: J. Browkin), 11L40 (11S15 94A55 94B60). preprint dvi

 


Jeremy K. Lovejoy


· MR1802717 (2002b:11147)  Lovejoy, Jeremy(1-WI) Ramanujan-type congruences for three colored Frobenius partitions. (English summary)  J. Number Theory 85 (2000), no. 2, 283–290.  11P83 (11F11) .  preprint dvi .

· MR1822684 (2002k:11185) Lovejoy, Jeremy Divisibility and distribution of partitions into distinct parts. Adv. Math. 158 (2001), no. 2, 253–263, 11P82 (11F30).   preprint  dvi.   

·  MR1933393 (2003j:11124)  Andrews, G. E.(1-PAS); Lewis, R. P.(4-SUSX-SM); Lovejoy, J. Partitions with designated summands.  Acta Arith. 105 (2002), no. 1, 51–66.   11P82 (05A17 11F11 11P83). preprint dvi.   

· MR1880828 (2003c:11136) Lovejoy, Jeremy; Ono, Ken Extension of Ramanujan's congruences for the partition function modulo powers of 5. J. Reine Angew. Math. 542 (2002), 123–132. (Reviewer: Scott Ahlgren), 11P83 (11F11 11F37) . preprint dvi.   

· MR1879133 (2002k:11181) Corteel, Sylvie; Lovejoy, Jeremy Frobenius partitions and the combinatorics of Ramanujan's 1ψ1 summation. J. Combin. Theory Ser. A 97 (2002), no. 1, 177–183. (Reviewer: George E. Andrews), 11P81 (05A17 33D15).    preprint dvi.    

 

 

Eric Mortenson


•MR2431046 (2010g:11203) Mortenson, Eric A p-adic supercongruence conjecture of van Hamme. Proc. Amer. Math. Soc. 136 (2008), no. 12, 4321–4328. (Reviewer: Scott Ahlgren), 11S80 (33C20 33E50)  vanHammeV4.pdf

•MR2404798 (2009g:11139) Mortenson, Eric On the broken 1-diamond partition. Int. J. Number Theory 4 (2008), no. 2, 199–218. (Reviewer: Scott Ahlgren), 11P83 (05A15 05A17 11F20).   kdiamond.pdf

•MR2569767 (2010i:05039) Mortenson, Eric On differentiation and harmonic numbers. Util. Math. 80 (2009), 53–57, 05A30  harmonicsums.pdf

•MR2404804 (2009g:11054) Milas, Antun; Mortenson, Eric; Ono, Ken Number theoretic properties of Wronskians of Andrews-Gordon series. Int. J. Number Theory 4 (2008), no. 2, 323–337. (Reviewer: Imin Chen), 11F30 (11F22 11G05 17B68 33D90 81T40) wronksianfinal.pdf



Matt Papanikolas


·  MR1916653 (2003g:11080) Brownawell, W. Dale; Papanikolas, Matthew A. Linear independence of gamma values in positive characteristic. J. Reine Angew. Math. 549 (2002), 91–148. (Reviewer: David Goss), 11J93 (11G09 33E50).     preprint. 

·  MR1781332 (2002a:11068) Papanikolas, Matthew A. Canonical heights on elliptic curves in characteristic p. Compositio Math. 122 (2000), no. 3, 299–313. (Reviewer: Kenneth Kramer), 11G50 (11G05 11G07) preprint.

 


David Penniston


· MR1695033 (2001b:14077) Penniston, David Unipotent groups associated to reduced curves. Trans. Amer. Math. Soc. 352 (2000), no. 11, 5025–5043. (Reviewer: Dino J. Lorenzini), 14L17 (14H40).   preprint 

· MR1760669 (2001b:14050) Penniston, David Unipotent groups and curves of genus two. Math. Ann. 317 (2000), no. 1, 57–78. (Reviewer: Mihnea Popa), 14H40 (14H20 14L17). preprint 

· MR1840487 (2003c:11137b) Ono, Ken; Penniston, David Corrigendum: "The 2-adic behavior of the number of partitions into distinct parts''. J. Combin. Theory Ser. A 95 (2001), no. 1, 196. (Reviewer: Scott Ahlgren), 11P83 (11F30).  preprint

 


Leonid Vaserstein


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

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

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

·  (with U. Onn and A.Prasad) A note on Bruhat decomposition of GL(n) over local principal ideal rings, Communications in Algebra (2006),  no. 11, 4119--4130.  MR2267575 .     Zbl 1112.15020.  9 pp.  math.GR/0506094 [abs, ps, pdf, other] .

·  Polynomial parametrization  for the solutions of Diophantine equations   and arithmetic groups , 30 pp., Annals of Math. 171:2 (March of 2010),   979–1009. abstract. MR2630059. Zbl 05712747  pdf.

 


Yuri Zarhin


·  MR1681649 (2000d:11075) Zarhin, Yuri G. Torsion of abelian varieties, Weil classes and cyclotomic extensions. Math. Proc. Cambridge Philos. Soc. 126 (1999), no. 1, 1–15. (Reviewer: Dino J. Lorenzini), 11G10 (14K15).      preprint

·  MR1654994 (2000a:14008) Zarhin, Yu. G.; Moonen, B. J. J. Weil classes and Rosati involutions on complex abelian varieties. Recent progress in algebra (Taejon/Seoul, 1997), 229–236, Contemp. Math., 224, Amer. Math. Soc., Providence, RI, 1999. (Reviewer: Juan-Carlos Naranjo), 14C25 (14C30 14K05) .    preprint  

·  MR1652189 (99j:11069) Silverberg, A.; Zarhin, Yu. G. Subgroups of inertia groups arising from abelian varieties. J. Algebra 209 (1998), no. 1, 94–107. (Reviewer: Ben Moonen), 11G10 (14K15) .   preprint. 

·  MR1871981 (2002k:14027) Silverberg, A.; Zarhin, Yu. G. Étale cohomology and reduction of abelian varieties. Bull. Soc. Math. France 129 (2001), no. 1, 141–157. (Reviewer: Antoine Ducros), 14F20 (11G10 14K05). preprint.

·   MR1744959 (2001g:14073) Silverberg, A.; Zarhin, Yu. G. Reduction of abelian varieties. The arithmetic and geometry of algebraic cycles (Banff, AB, 1998), 495–513, NATO Sci. Ser. C Math. Phys. Sci., 548, Kluwer Acad. Publ., Dordrecht, 2000. (Reviewer: Joseph H. Silverman), 14K15 (11G10) . preprint.   

·  MR1640087 (99k:11085) Silverberg, A.; Zarhin, Yu. G. Semistable reduction of abelian varieties over extensions of small degree. J. Pure Appl. Algebra 132 (1998), no. 2, 179–193. (Reviewer: Dino J. Lorenzini), 11G10 (14K15). preprint. 

·  MR2641207 (2011c:14125) Zarhin, Yuri Cubic surfaces and cubic threefolds, Jacobians and intermediate Jacobians. Algebra, arithmetic, and geometry: in honor of Yu. I. Manin. Vol. II, 687–691, Progr. Math., 270, Birkhäuser Boston, Inc., Boston, MA, 2009. (Reviewer: Lei Yang), 14K30 (14J30) .     arxiv.org

 


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