Preprints and Accepted Papers

Last Update: 9/29/2016. back to PSU Algebra & Number Theory

George Andrews

Bressoud polynomials, Rogers-Ramanujan type identities, and applications. (accepted, Ramanujan J.) download
(with G. Simay) The mth largest and mth smallest parts of a partition. (accepted, Annals of Combinatorics) download
(with E. Brietzke, O. J. Rodseth, and J. A. Sellers) Arithmetic properties of m-ary partitions without gaps. (accepted, Annals of Combinatorics) download
(with D. Passary, J. A. Sellers, and A. J. Yee) Congruences related to the Ramanujan/Watson mock theta functions... (accepted, Ramanujan J.) download
A refinement of the Alladi-Schur theorem (submitted) download
Symmetric expansions of very well poised basic hypergeometric series. (submitted) download
(with A. Dixit, D. Schultz and A. J. Yee) Overpartitions related to the mock theta function... (submitted) download
4-shadows in q-series and the Kimberling index. download
The Alladi-Schur polynomials and their factorization. (submitted) download
Euler's partition identity - finite version (accepted , The Mathematics Student) download
The Bhargava-Adiga summation and partitions (ready to submit) download

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

· 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 . Z1031.11015. dvi | 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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