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.
| Divisibility of Frobenius eigenvalues on l-adic cohomology.
Helene Esnault, Daqing Wan Proc. Indian Acad. Sci (Math. Sci), 2023, Special Issue in Memory of Professor C.S. Seshadri. |
||
|
p-Adic GKZ hypergeometric complex.
Lei Fu, Peigen Li, Daqing Wan and Hao Zhang Math Ann., 2023. |
||
|
Computing zeta functions of large polynomial systems over finite fields.
Qi Cheng, Maurice Rojas and Daqing Wan J. Complexity, 73(2022), Paper No. 101681. |
||
|
On jumped Wenger graphs.
Liping Wang, Daqing Wan, Weiqiong Wang and Haiyan Zhou Commun. Math. Res., 38(2022), no.2, 319-332. |
||
| On Katz's (A,B)-exponential sums.
Lei Fu, Daqing Wan Q.J. Math., 72(2021), no.3, 773-793. |
||
|
Exponential sums over finite fields.
Daqing Wan J. Syst. Sci. Complex., 34(2021), no.4, 1225-1278. |
||
| Rational points on complete symmetric hypersurfaces over finite fields. Jun Zhang, Daqing Wan Discrete Math., 343(2020), no.11, 112072. |
||
|
Deep holes of projective Reed-Solomon codes.
Jun Zhang, Daqing Wan and K. Kaipa IEEE Transactions on Information Theory, 66(2020), no.4, 2392-2401. |
||
|
Distance distribution in Reed-Solomon codes.
Jiyou Li and Daqing Wan IEEE Transactions on Information Theory, 66(2020), no.5, 2743-2750. |
||
|
Class numbers and p-ranks in Z_p^d-towers.
Daqing Wan Journal of Number Theory, 203 (2019), 139-154. |
||
|
Counting roots for polynomials modulo prime powers.
Qi Cheng, Shuhong Gao, Maurice Rojas and Daqing Wan ANTS 2018 (13-th Algor. Number Theory Symp.), Open Book Ser., 2 (2019), 191-205. |
||
|
Counting polynomial subset sums.
Jiyou Li and Daqing Wan Ramanujan Journal, 47(2018), 67-84. |
||
|
Genus growth in Z_p towers of function fields.
Michiel Kosters and Daqing Wan Proc. Amer. Math. Soc., 146 (2018), no.4, 1481-1494. |
||
|
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. |
||
|
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. |
||
|
On deep holes of Gabidulin codes.
Weijun Fang, Liping Wang and Daqing Wan Finite Fields & Applications, 54 (2018), 216-229. |
||
|
On lattice-based algebraic feedback shift registers
synthesis for multisequences.
Liping Wang and Daqing Wan Cryptography and Communications, 10 (2018), no.3, 455-465. |
||
|
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. |
||
|
Slopes of eigencurves over boundary disks.
Daqing Wan, Liang Xiao and Jun Zhang Math. Ann., 369 (2017), no. 1-2, 487-537. |
||
|
The eigencurve over the boundary of weight space.
Ruochuan Liu, Daqing Wan and Liang Xiao Duke Math. J., 166 (2017), no. 9, 1739-1787. |
||
|
Newton slopes for Artin-Schreier-Witt towers.
Christopher Davis, Daqing Wan and Liang Xiao Math. Ann., 364 (2016), no. 3, 1451-1468. |
||
|
On deep holes of projective Reed-Solomon codes.
Jun Zhang and Daqing Wan IEEE International Symposium on Information Theory, 2016, 925-929. |
||
|
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. |
||
|
Deep holes in Reed-Solomon codes based on Dickson polynomials.
Matt Keti and Daqing Wan Finite Fields & Applications, Vol. 40 (2016), 110-125 |
||
|
A refinement of multivariate value set bounds.
Luke Smith and Daqing Wan Finite Fields & Applications, Vol. 38 (2016), 13-26. |
||
|
Linearized Wenger graphs.
Xiwang Cao, Mei Lu, Daqing Wan, Liping Wang and Qiang Wang Discrete Mathematics, 338 (2015), 1595-1602. |
||
|
On the minimun distance of elliptic curve codes.
Jiyou Li, Daqing Wan and Jun Zhang IEEE International Symposium on Information Theory, 2015, 2391-2395. |
||
|
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. |
||
|
L-functions of p-adic characters.
Christopher Davis and Daqing Wan Nagoya Mathematics Journal, Volume 213 (2014), 77-104. |
||
|
Algebraic Cayley graphs over finite fields.
Mei Lu, Daqing Wan, Liping Wang and Xiaodong Zhang Finite Fields & Applications, Vol. 28 (2014), 43-56. |
||
|
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. |
||
|
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. |
||
|
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. |
||
|
Constructing high order elements through subspace polynomials.
Qi Cheng, Shuhong Gao and Daqing Wan SODA2012 (ACM-SIAM Symposium on Discrete Algorithms, 2012). |
||
|
Counting subset sums of finite abelian groups.
Jiyou Li and Daqing Wan J. Combinatorial Theory, Series A, 119(2012), No. 1, 170-182. |
||
|
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. |
||
|
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. |
||
|
Improvements of the Weil bound for Artin-Schreier curves.
Antonio Rojas-Leon and Daqing Wan Math. Ann., 351(2011), No.2, 417-442. |
||
|
Factorial and Noetherian subrings of power series rings.
Damek Davis and Daqing Wan Proceedings of American Mathematical Society, 139(2011), No.3, 823-834. |
||
|
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. |
||
|
A new sieve for distinct coordinate counting.
Jiyou Li and Daqing Wan Science China Math., 2010, 53(9), 2351-2362. |
||
|
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. |
||
|
T-adic exponential sums over finite fields.
Chunlei Liu and Daqing Wan Algebra & Number Theory, Vol. 3, 5(2009), 489-509. |
||
|
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. |
||
|
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. |
||
|
On the subset sum problem over finite fields.
Jiyou Li and Daqing Wan Finite Fields & Applications, 14(2008), No.4, 911-929. |
||
|
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. |
||
|
On error distance of Reed-Solomon codes.
Yujuan Li and Daqing Wan Science in China Series A: Mathematics, Vol 51, 11(2008), 1982-1988. |
||
|
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. |
||
|
L-functions of symmetric products of the Kloosterman sheaf over Z.
Lei Fu, Daqing Wan Math. Ann., 342(2008), No. 2, 387-404. |
||
|
Modular counting of rational points over finite fields.
Daqing Wan Foundations of Computational Mathematics, 8(2008), No.5, 597-605. |
||
|
Trivial factors for L-functions of symmetric products of Kloosterman sheaves.
Lei Fu, Daqing Wan Finite Fields & Appl., V. 14, 2(2008), 549-570. |
||
|
Lucas type congruences for cyclotomic \psi-coefficients.
Zhi-Wei Sun and Daqing Wan International Journal of Number Theory, 4(2008), no.2, 155-170. |
||
|
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. |
||
|
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. |
||
|
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. |
||
|
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. |
||
|
Mirror congruence for rational points on Calabi-Yau varieties.
Lei Fu and Daqing Wan Asian J. Math., 10(2006), 1-10. |
Postscript | |
|
Combinatorial congruences and \psi-operators.
Daqing Wan Finite Fields & Applications, 12(2006), 693-703. |
Postscript | |
|
Mirror symmetry for zeta functions.
Daqing Wan In Mirrror Symmetry V, AMS/IP Studies in Advanced Mathematics, Vol.38, 2006, 159-184. |
Postscript | |
|
Arithmetic mirror symmetry.
Daqing Wan Quarterly Journal of Pure and Applied Math. 1(2005), Number 2, 369-378. |
Postscript | |
|
L-functions for symmetric products of Kloosterman sums.
Lei Fu and Daqing Wan J. Reine Angew. Math. 589(2005), 79-103. |
Postscript | |
|
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 | |
|
Variation of p-adic Newton polygons for L-functions of exponential sums.
Daqing Wan Asian J. Math. Vol 8, 3(2004), 427-474. |
Postscript | |
|
Geometric moment zeta functions. Daqing Wan Geometric Aspects of Dwork Theory, Walter de Gruyter, 2004 , Vol II, 1113-1129. |
Postscript | |
|
Moment L-functions, partial L-functions and partial exponential sums. Lei Fu and Daqing Wan Math. Ann., 328(2004), 193-228. |
Postscript | |
|
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 | |
|
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 | |
|
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. |
||
|
Zeta functions of algebraic cycles over finite fields. Daqing Wan Manuscript Math., 74(1992), 413-414. |
dvi | Postscript |