Daqing Wan

Professor of Mathematics
University of California
Irvine, CA 92697-3875
dwan@math.uci.edu


P A P E R S



Here are some of my papers since 1992. Note that most of these are preprint versions and so they may be different from the published versions.


Functional equations of L-functions for symmetric products of the Kloosterman sheaf.
Lei Fu and Daqing Wan
Transactions of American Mathematical Society (version: Dec, 2008), to appear.
pdf
T-adic exponential sums over finite fields.
Chunlei Liu and Daqing Wan
Algebra & Number Theory, to appear (version: Jan 2009).
pdf
On Katz's bound for the number of elements with given trace and norm.
Marko Moisio and Daqing Wan
Crelles, to appear.
pdf
A deterministic reduction for the gap minimun distance problem.
Qi Cheng and Daqing Wan
STOC 2009 (41st ACM Symposium on Theory of Computing), to appear.
pdf
Primary decomposition of zero-dimensional ideals over finite fields.
Shuhong Gao, Daqing Wan and Mingsheng Wang
Mathematics of Computation, 78(2009), No. 265, 509-521.
pdf
On the subset sum problem over finite fields.
Jiyou Li and Daqing Wan
Finite Fields & Applications, 14(2008), No.4, 911-929.
pdf
Lectures on zeta functions over finite fields (Gottingen Lecture Notes).
Daqing Wan
in Higher Dimensional Geometry over Finite Fields, eds: D. Kaledin and Y. Tschinkel, IOS Press, 2008, 244-268.
pdf
On error distance of Reed-Solomon codes.
Yujuan Li and Daqing Wan
Science in China Series A: Mathematics, Vol 51, 11(2008), 1982-1988.
pdf
Complexity of decoding positive-rate Reed-Solomon codes.
Qi Cheng, Daqing Wan
Proceedings of ICALP08, Lecture Notes in Computer Sciences, Vol 5125(2008), 283-293.
pdf
L-functions of symmetric products of the Kloosterman sheaf over Z.
Lei Fu, Daqing Wan
Math. Ann., 342(2008), No. 2, 387-404.
pdf
Modular counting of rational points over finite fields.
Daqing Wan
Foundations of Computational Mathematics, 8(2008), No.5, 597-605.
pdf
Trivial factors for L-functions of symmetric products of Kloosterman sheaves.
Lei Fu, Daqing Wan
Finite Fields & Appl., V. 14, 2(2008), 549-570.
pdf
Lucas type congruences for cyclotomic \psi-coefficients.
Zhi-Wei Sun and Daqing Wan
International Journal of Number Theory, 4(2008), no.2, 155-170.
pdf
On Fleck Quotients.
Zhi-Wei Sun and Daqing Wan
Acta Arith., 127(2007), no. 4, 337-363.
pdf
Moment zeta functions for toric Calabi-Yau hypersurfaces.
Antonio Rojas-Leon, Daqing Wan
Communications in Number Theory and Physics, Vol.1, No.3 (2007), 539-578.
pdf
On the list and bounded distance decodibility of Reed-Soloman codes.
Qi Cheng and Daqing Wan
SIAM J. Computing, 37(2007), No.1., 195-207.
pdf
L-functions of functions fields.
Daqing Wan
in Number Theory, Proceedings of 4-th China-Japan Number Theory Seminar,
eds: S. Kanemitsu and J.Y. Liu, 2007, 237-241.
pdf
Mirror congruence for rational points on Calabi-Yau varieties.
Lei Fu and Daqing Wan
Asian J. Math., 10(2006), 1-10.
Postscript pdf
Combinatorial congruences and \psi-operators.
Daqing Wan
Finite Fields & Applications, 12(2006), 693-703.
Postscript pdf
Mirror symmetry for zeta functions.
Daqing Wan
In Mirrror Symmetry V, AMS/IP Studies in Advanced Mathematics, Vol.38, 2006, 159-184.
Postscript pdf
Arithmetic mirror symmetry.
Daqing Wan
Quarterly Journal of Pure and Applied Math. 1(2005), Number 2, 369-378.
Postscript pdf
L-functions for symmetric products of Kloosterman sums.
Lei Fu and Daqing Wan
J. Reine Angew. Math. 589(2005), 79-103.
Postscript pdf
On the list and bounded distance decodibility of Reed-Soloman codes.
Qi Cheng and Daqing Wan
Proceedings of 45th Annual IEEE Symposium on Foundations of Computer Science (FOCS) 2004, 335-341.
Postscript pdf
Variation of p-adic Newton polygons for L-functions of exponential sums.
Daqing Wan
Asian J. Math. Vol 8, 3(2004), 427-474.
Postscript pdf
Geometric moment zeta functions.
Daqing Wan
Geometric Aspects of Dwork Theory, Walter de Gruyter, 2004 , Vol II, 1113-1129.
Postscript pdf
Moment L-functions, partial L-functions and partial exponential sums.
Lei Fu and Daqing Wan
Math. Ann., 328(2004), 193-228.
Postscript pdf
On the p-adic Riemann hypothesis for the zeta function of divisors.
Daqing Wan and C. Douglas Haessig
J. Number Theory, 104(2004), 335-352.
Postscript pdf
Moment zeta functions in arithmetic geometry.
Daqing Wan
Proceedings of Second International Congress of Chinese Mathematicians (Taipai, 2001)
International Press, 2004, 115-131.
dvi Postscript
Rationality of partial zeta functions.
Daqing Wan
Indagationes Mathematicae, New Ser., 14(2003), 285-292.
Postscript pdf
Hodge type of the exotic cohomology of complete intersections.
H'el`ene Esnault and Daqing Wan
C. R. Acad. Sci. Paris., Ser I 336(2003), 153-157.
dvi Postscript
Total degree bounds for Artin L-functions and partial zeta functions.
Lei Fu and Daqing Wan
Math. Research Letters, 10(2003), 33-41.
dvi Postscript
Algorithmic theory of zeta functions over finite fields.
Daqing Wan
to appear in MSRI Computational Number Theory Proceedings.
preprint (final version: March 2003).
dvi Postscript
Counting rational points on varieties over finite fields of small characteristic.
Alan Lauder and Daqing Wan
to appear in MSRI Computational Number Theory Proceedings.
preprint (version: October, 2002).
dvi Postscript
Computing zeta functions of Artin-Schreier curves over finite fields II.
Alan Lauder and Daqing Wan
Journal of Complexity, 20(2004), 331-349.
Postscript
Computing zeta functions of Artin-Schreier curves over finite fields.
Alan Lauder and Daqing Wan
London Math. Soc. J. Comput. Math., 5(2002), 34-55.
dvi Postscript
Pure L-functions from algebraic geometry over finite fields.
Daqing Wan
in Finite Fields and Application, eds, D. Jungnickel, and H. Niederreiter, Springer, 2001, 437-461.
dvi Postscript
Partial zeta functions of algebraic varieties over finite fields.
Daqing Wan
Finite Fields & Appl., 7(2001), 238-151.
dvi Postscript
Higher rank case of Dwork's conjecture.
Daqing Wan
J. Amer. Math. Soc., 13(2000), 807-852.
dvi Postscript
Rank one case of Dwork's conjecture.
Daqing Wan
J. Amer. Math. Soc., 13(2000), 853-908.
dvi Postscript
Poles of zeta functions of complete intersections.
Daqing Wan
Chinese Ann. Math., 21(2000), 187-2000.
dvi Postscript
Dwork's conjecture on unit root zeta functions.
Daqing Wan
Ann. Math., 150(1999), 867-927.
dvi Postscript
A quick introduction to Dwork's conjecture.
Daqing Wan
Contemporary Mathematics, 245(1999), 147-163.
dvi Postscript
Computing zeta functions over finite fields.
Daqing Wan
Contemporary Mathematics, 225(1999), 131-141.
dvi Postscript
Dimension variation of classical and p-adic modular forms.
Daqing Wan
Invent. Math., 133(1998), 449-463.
dvi Postscript
Generators and irreducible polynomials over finite fields.
Daqing Wan
Math. Comp., 66(1997), 1195-1212.
dvi Postscript
Bounds for fixed point free elements in a transitive group and applications to curves overfinite fields.
Robert Guralnick and Daqing Wan
Israel J. Math. 101 (1997), 255-287.
dvi Postscript
Entireness of L-functions of $\phi$-sheaves on affine complete intersections.
Yuichiro Taguchi and Daqing Wan
J. Number Theory, 63 (1997), no. 1, 170-179.
dvi Postscript
L-functions of $\phi$-sheaves and Drinfeld modules.
Yuichiro Taguchi and Daqing Wan
J. Amer. Math. Soc. 9 (1996), no. 3, 755-781.
dvi Postscript
Meromorphic continuation of $L$-functions of $p$-adic representations.
Daqing Wan
Ann. Math., 143(1996), 469-498.
dvi Postscript
On the Riemann hypothesis for the characteristic $p$ zeta function.
Daqing Wan
J. Number Theory, 58(1996), no. 1, 196-212.
dvi Postscript
A Chevalley-Warning approach to p-adic estimate of character sums.
Daqing Wan
Proc. Amer. Math. Soc., 123(1995), 45-54.
dvi Postscript
Newton polygons of zeta functions and L-functions.
Daqing Wan
Ann. Math., 137(1993), 247-293.
dvi Postscript
Zeta functions of algebraic cycles over finite fields.
Daqing Wan
Manuscript Math., 74(1992), 413-414.
dvi Postscript