# 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.

 Counting roots for polynomials modulo prime powers. Qi Cheng, Shuhong Gao, Maurice Rojas and Daqing Wan ANTS 2018 (13-th Algor. Number Theory Symp.), to appear. pdf Counting polynomial subset sums. Jiyou Li and Daqing Wan The Ramanujan Journal, 2018, to appear. pdf Genus growth in Z_p towers of function fields. Michiel Kosters and Daqing Wan Proc. Amer. Math. Soc., 146 (2018), no.4, 1481-1494. pdf Slopes for higher rank Artin-Schreier-Witt towers. Rufei Ren, Daqing Wan, Liang Xiao and Myungjun Yu Trans. Amer. Math. Soc., 370 (2018), 6411-6432. pdf Artin conjecture for L-functions of p-adic representations of function fields. Ruochuan Liu and Daqing Wan Mathematics Research Letters, 25 (2018), no.1, 143-157. pdf On deep holes of Gabidulin codes. Weijun Fang, Liping Wang and Daqing Wan Finite Fields & Applications, 54 (2018), 216-229. pdf On lattice-based algebraic feedback shift registers synthesis for multisequences. Liping Wang and Daqing Wan Cryptography and Communications, 10 (2018), no.3, 455-465. pdf Sparse univariate polynomials with many roots over finite fields. Qi Cheng, Shuhong Gao, Maurice Rojas and Daqing Wan Finite Fields & Applications, 46 (2017), 235-246. pdf Slopes of eigencurves over boundary disks. Daqing Wan, Liang Xiao and Jun Zhang Math. Ann., 369 (2017), no. 1-2, 487-537. pdf The eigencurve over the boundary of weight space. Ruochuan Liu, Daqing Wan and Liang Xiao Duke Math. J., 166 (2017), no. 9, 1739-1787. pdf Newton slopes for Artin-Schreier-Witt towers. Christopher Davis, Daqing Wan and Liang Xiao Math. Ann., 364 (2016), no. 3, 1451-1468. pdf On deep holes of projective Reed-Solomon codes. Jun Zhang and Daqing Wan IEEE International Symposium on Information Theory, 2016, 925-929. pdf Index bounds for character sums of polynomials over finite fields, Daqing Wan and Qiang Wang Designs, Codes and Cryptography, 81 (2016), no.3, 459-468. pdf Deep holes in Reed-Solomon codes based on Dickson polynomials. Matt Keti and Daqing Wan Finite Fields & Applications, Vol. 40 (2016), 110-125 pdf A refinement of multivariate value set bounds. Luke Smith and Daqing Wan Finite Fields & Applications, Vol. 38 (2016), 13-26. pdf Linearized Wenger graphs. Xiwang Cao, Mei Lu, Daqing Wan, Liping Wang and Qiang Wang Discrete Mathematics, 338 (2015), 1595-1602. pdf On the minimun distance of elliptic curve codes. Jiyou Li, Daqing Wan and Jun Zhang IEEE International Symposium on Information Theory, 2015, 2391-2395. pdf Traps to the BGJT-algorithm for discrete logarithms. Qi Cheng, Daqing Wan and Jincheng Zhuang LMS J. Comput. Math. 17 (ANTS Special issue A) (2014), 218-229. pdf L-functions of p-adic characters. Christopher Davis and Daqing Wan Nagoya Mathematics Journal, Volume 213 (2014), 77-104. pdf Algebraic Cayley graphs over finite fields. Mei Lu, Daqing Wan, Liping Wang and Xiaodong Zhang Finite Fields & Applications, Vol. 28 (2014), 43-56. pdf Stopping sets of algebraic geometry codes. Jun Zhang, Fang-Wei Fu, and Daqing Wan IEEE TRANSACTIONS ON INFORMATION THEORY, VOL. 60, NO. 3, MARCH 2014, 1488-1495. pdf Value sets of polynomial maps over finite fields. Gary Mullen, Daqing Wan and Steven Wang Quarterly J. Mathematics, Oxford, 64(2013), no.4, 1191-1196. pdf Counting value sets: algorithms and complexity. Qi Cheng, Joshua Hill and Daqing Wan ANTS X, Proceedings of the Tenth Algorithmic Number Theory Symposium, The Open Book Series, 1(2013), 235-248. pdf Constructing high order elements through subspace polynomials. Qi Cheng, Shuhong Gao and Daqing Wan SODA2012 (ACM-SIAM Symposium on Discrete Algorithms, 2012). pdf Counting subset sums of finite abelian groups. Jiyou Li and Daqing Wan J. Combinatorial Theory, Series A, 119(2012), No. 1, 170-182. pdf Computing the error distance of Reed-Solomon codes Guizhen Zhu and Daqing Wan TAMC 2012 (Theory and Applications of Models of Computation), LNCS, Vol 7287 (2012), 214-224. pdf An asymptotic formula for counting subset sums over subgroups of finite fields. Guizhen Zhu and Daqing Wan Finite Fields & Applications, 18(2012), No. 1, 192-209. pdf Improvements of the Weil bound for Artin-Schreier curves. Antonio Rojas-Leon and Daqing Wan Math. Ann., 351(2011), No.2, 417-442. pdf Factorial and Noetherian subrings of power series rings. Damek Davis and Daqing Wan Proceedings of American Mathematical Society, 139(2011), No.3, 823-834. pdf Functional equations of L-functions for symmetric products of the Kloosterman sheaf. Lei Fu and Daqing Wan Transactions of American Mathematical Society, 362(2010), NO.11, 5947-5965. pdf A new sieve for distinct coordinate counting. Jiyou Li and Daqing Wan Science China Math., 2010, 53(9), 2351-2362. pdf On Katz's bound for the number of elements with given trace and norm. Marko Moisio and Daqing Wan J. Reine Angew. Math., 638(2010), 69-74. pdf T-adic exponential sums over finite fields. Chunlei Liu and Daqing Wan Algebra & Number Theory, Vol. 3, 5(2009), 489-509. pdf A deterministic reduction for the gap minimun distance problem. Qi Cheng and Daqing Wan STOC 2009 (41st ACM Symposium on Theory of Computing), 33-38. Full paper published in IEEE TRANSACTIONS ON INFORMATION THEORY, Vol.58 (2012), No.11, 6935-6941. 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. Full paper published in IEEE Transactions on Information Theory, Vol 56(2010), No. 10, 5217-5222. 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 Algorithmic theory of zeta functions over finite fields. Daqing Wan Algorithmic number theory: lattices, number fields, curves and cryptography, 551–578, Math. Sci. Res. Inst. Publ., 44, Cambridge Univ. Press, Cambridge, 2008. dvi Postscript Counting rational points on varieties over finite fields of small characteristic. Alan Lauder and Daqing Wan Algorithmic number theory: lattices, number fields, curves and cryptography, 579–612, Math. Sci. Res. Inst. Publ., 44, Cambridge Univ. Press, Cambridge, 2008. dvi Postscript 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 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 A p-adic lifting lemma and its application to permutation polynomials. Daqing Wan Lecture Notes in Pure and Appl. Math., 141, Dekker, New York, 1993, 209-216. pdf Zeta functions of algebraic cycles over finite fields. Daqing Wan Manuscript Math., 74(1992), 413-414. dvi Postscript