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.
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On lattice-based algebraic feedback shift registers synthesis for multisequences.
Liping Wang and Daqing Wan
Cryptography and Communications, 10 (2018), no.3, 455-465.
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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.
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Slopes of eigencurves over boundary disks.
Daqing Wan, Liang Xiao and Jun Zhang
Math. Ann., 369 (2017), no. 1-2, 487-537.
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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
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A refinement of multivariate value set bounds.
Luke Smith and Daqing Wan
Finite Fields & Applications, Vol. 38 (2016), 13-26.
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Linearized Wenger graphs.
Xiwang Cao, Mei Lu, Daqing Wan, Liping Wang and Qiang Wang
Discrete Mathematics, 338 (2015), 1595-1602.
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On the minimun distance of elliptic curve codes.
Jiyou Li, Daqing Wan and Jun Zhang
IEEE International Symposium on Information Theory, 2015, 2391-2395.
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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.
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Algebraic Cayley graphs over finite fields.
Mei Lu, Daqing Wan, Liping Wang and Xiaodong Zhang
Finite Fields & Applications, Vol. 28 (2014), 43-56.
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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.
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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.
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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.
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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.
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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.
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Improvements of the Weil bound for Artin-Schreier curves.
Antonio Rojas-Leon and Daqing Wan
Math. Ann., 351(2011), No.2, 417-442.
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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.
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On the subset sum problem over finite fields.
Jiyou Li and Daqing Wan
Finite Fields & Applications, 14(2008), No.4, 911-929.
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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.
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Modular counting of rational points over finite fields.
Daqing Wan
Foundations of Computational Mathematics, 8(2008), No.5, 597-605.
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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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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.
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Zeta functions of algebraic cycles over finite fields.
Daqing Wan
Manuscript Math., 74(1992), 413-414.
dvi Postscript