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.
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Lectures on zeta functions over finite fields (Gottingen Lecture Notes).
Daqing Wan Preprint (version: October, 2007). |
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Complexity of decoding positive-rate Reed-Solomon codes, ICALP08, to appear.
Qi Cheng, Daqing Wan (version: April, 2008). |
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L-functions of symmetric products of the Kloosterman sheaf over Z.
Lei Fu, Daqing Wan Preprint (version: October, 2007). |
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Primary decomposition of zero-dimensional ideals over finite fields.
Shuhong Gao, Daqing Wan and Mingsheng Wang Mathematics of Computation, to appear (version: October, 2007). |
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Modular counting of rational points over finite fields.
Daqing Wan Foundations of Computational Mathematics, to appear (version: December, 2006). |
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Trivial factors for L-functions of symmetric products of Kloosterman sheaves.
Lei Fu, Daqing Wan Finite Fields & Appl., V. 14, 2(2008), 549-570. |
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Lucas type congruences for cyclotomic \psi-coefficients.
Zhi-Wei Sun and Daqing Wan International Journal of Number Theory, 4(2008), no.2, 155-170. |
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On Fleck Quotients.
Zhi-Wei Sun and Daqing Wan Acta Arith., 127(2007), no. 4, 337-363. |
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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. |
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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. |
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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. |
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Mirror congruence for rational points on Calabi-Yau varieties.
Lei Fu and Daqing Wan Asian J. Math., 10(2006), 1-10. |
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Combinatorial congruences and \psi-operators.
Daqing Wan Finite Fields & Applications, 12(2006), 693-703. |
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Mirror symmetry for zeta functions.
Daqing Wan In Mirrror Symmetry V, AMS/IP Studies in Advanced Mathematics, Vol.38, 2006, 159-184. |
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Arithmetic mirror symmetry.
Daqing Wan Quarterly Journal of Pure and Applied Math. 1(2005), Number 2, 369-378. |
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L-functions for symmetric products of Kloosterman sums.
Lei Fu and Daqing Wan J. Reine Angew. Math. 589(2005), 79-103. |
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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. |
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Variation of p-adic Newton polygons for L-functions of exponential sums.
Daqing Wan Asian J. Math. Vol 8, 3(2004), 427-474. |
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Geometric moment zeta functions. Daqing Wan Geometric Aspects of Dwork Theory, Walter de Gruyter, 2004 , Vol II, 1113-1129. |
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Moment L-functions, partial L-functions and partial exponential sums. Lei Fu and Daqing Wan Math. Ann., 328(2004), 193-228. |
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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. |
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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 |
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Rationality of partial zeta functions. Daqing Wan Indagationes Mathematicae, New Ser., 14(2003), 285-292. |
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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 |
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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 |
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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 |
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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 |
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Computing zeta functions of Artin-Schreier
curves over finite fields II. Alan Lauder and Daqing Wan Journal of Complexity, 20(2004), 331-349. |
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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 |
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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 |
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Partial zeta functions of algebraic varieties over finite fields. Daqing Wan Finite Fields & Appl., 7(2001), 238-151. |
dvi | Postscript |
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Higher rank case of Dwork's conjecture. Daqing Wan J. Amer. Math. Soc., 13(2000), 807-852. |
dvi | Postscript |
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Rank one case of Dwork's conjecture. Daqing Wan J. Amer. Math. Soc., 13(2000), 853-908. |
dvi | Postscript |
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Poles of zeta functions of complete intersections. Daqing Wan Chinese Ann. Math., 21(2000), 187-2000. |
dvi | Postscript |
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Dwork's conjecture on unit root zeta functions. Daqing Wan Ann. Math., 150(1999), 867-927. |
dvi | Postscript |
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A quick introduction to Dwork's conjecture. Daqing Wan Contemporary Mathematics, 245(1999), 147-163. |
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Computing zeta functions over finite fields. Daqing Wan Contemporary Mathematics, 225(1999), 131-141. |
dvi | Postscript |
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Dimension variation of classical and p-adic modular forms. Daqing Wan Invent. Math., 133(1998), 449-463. |
dvi | Postscript |
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Generators and irreducible polynomials over finite fields. Daqing Wan Math. Comp., 66(1997), 1195-1212. |
dvi | Postscript |
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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 |
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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 |
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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 |
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Meromorphic continuation of
$L$-functions of $p$-adic representations. Daqing Wan Ann. Math., 143(1996), 469-498. |
dvi | Postscript |
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On the Riemann hypothesis for the characteristic $p$ zeta function. Daqing Wan J. Number Theory, 58(1996), no. 1, 196-212. |
dvi | Postscript |
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A Chevalley-Warning approach to p-adic estimate of
character sums. Daqing Wan Proc. Amer. Math. Soc., 123(1995), 45-54. |
dvi | Postscript |
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Newton polygons of zeta functions and L-functions. Daqing Wan Ann. Math., 137(1993), 247-293. |
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Zeta functions of algebraic cycles over finite fields. Daqing Wan Manuscript Math., 74(1992), 413-414. |
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