Preprints and Accepted Papers not yet  printed

Last Update: 4/31/04    back to  PSU Algebra & Number Theory

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George Andrews

•  Partitions, chapter 8 in the book HISTORY OF COMBINATORICS edited by Robin Wilson. pdf
•  (with P. Paule and A. Riese)   "MacMahon's dream"  (submitted) pdf.
•  "Partitions with initial repetitions" (submitted)   pdf.
•  "A survey of multipartitions: Congruences and identities"  To appear in "Surveys in Number Theory," K. Alladi, ed., in Developments in Mathematics (Springer).. pdf.
•   (with Peter Paule)   "Partition analysis XII:  Plane partitions"    J. London Math. Soc.      ps.
• "The number of smallest parts in the partitions of n".  J Reine Ang. Math.  pdf
•  (with S. Corteel and C. D. Savage) "On     q-series identities arising from lecture hall   partitions"  Intern. J. of Number Theory  . pdf
•   "The Theory of Compositions, IV: Multicompositions" ,    submitted   pdf
•  "The finite Heine Transformation."  pdf .
  

W. D. Brownawell

·  (with Matt Papanikolas) `Linear independence of Gamma values in positive characteristic', (submitted).

Donald James

· "Bianchi groups and integral quadratic forms", (Proc. of the Int. Symp. on Group Th., Beijing).

· "Primitive local densities for unimodular quadratic forms", (Contemp. Math.)

Wen-Ching Winnie Li

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

·  (with Ching Li Chai) "Function fields: Arithmetic and Applications", (Proc. AMS Conf. "Applications of Curves over Finite Fields").

· "Eigenvalues of Ramanujan graphs"

· "Character sums over p-adic fields"

Jeremy K. Lovejoy

· Ramanujan-type Congruences for Three Colored Frobenius Partitions. (J. Number Theory)

· Divisibility and Distribution of Partitions into Distinct Parts.  (submitted)

·  (with G.E. Andrews, R.P. Lewis) Partitions with Designated Summands.  (submitted)

·  (with Ken Ono) Extension of Ramanujan's Congruences for the Partition Function Modulo Powers of 5 .(submitted)

·  (with Sylvie Corteel) The Combinatorics of Ramanujan's  ₁psi₁ Summation.   (J. Comb. Th. Ser. A,)

Eric Mortenson

• A p-adic supercongruence conjecture of van Hamme Proc. AMS, accepted.  vanHammeV4.pdf
• On the broken 1-diamond partition International Journal of Number Theory, accepted.  kdiamond.pdf
• On differentiation and harmonic numbers submitted.  harmonicsums.pdf
• (with A.Milas and K. Ono) Number theoretic properties of Wronskians of Andrews-Gordon series,
  International Journal of Number Theory, accepted.  wronksianfinal.pdf

Matt Papanikolas

·  (with W. D. Brownawell) `Linear independence of Gamma values in positive characteristic', (submitted).

· `Canonical heights on elliptic curves in characteristic p', (Compositio Math.)

David Penniston

· `Unipotent groups associated to reduced curves', (Trans. Amer. Math. Soc.)

· `Unipotent groups and curves of genus two,' (Math. Annalen).

· `The 2-adic behavior of the number of partitions into distinct parts,' (J. Comb. Th.).

Leonid Vaserstein

·  (with R. Gar-El)  On the Diophantine equation  a³+ b³+ c³+ d³ = 0,  J Number Theory.  dvi   |  ps | pdf |.

·  (with E.R.Wheland), Vanishing polynomial sums,  Comm. in Algebra. dvi    | ps | pdf |.

·  On the Whitehead determinant for semi-local rings,     ps pdf

·  (with U. Onn and A.Prasad} Bruhat decomposition of GL(n) over local principal ideal rings, Communications in Algebra,  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..    pdf.

Yuri Zarhin

· "Torsion of abelian varieties, Weil classes and cyclotomic extensions", (Math. Proc. Camb. Phil. Soc.)

·  (with B. Moonen) "Weil classes and Rosati involutions on complex abelian varieties".

·  (with A. Silverberg)" Subgroups of inertia groups arising from abelian varieties", (J. Algebra).

·  (with A. Silverberg) "Etale cohomology and reduction of abelian varieties".

·  (with A. Silverberg) "Reduction of abelian varieties."

·  (with A. Silverberg) "Semistable reduction of abelian varieties over extensions of small degree", (J. Pure Appl. Algebra).

<>· Cubic surfaces and cubic threefolds, jacobians and intermediate jacobians   arxiv.org<>
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