Number Theory

[76] On finite Carlitz multiple polylogarithms

Chieh-Yu Chang National Tsing Hua University Yoshinori Mishiba National Institute of Technology, Oyama College

Number Theory mathscidoc:1611.24001

[ Download ] [ 2016-11-08 17:58:46 uploaded by cychang ] [ 1143 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[77] On minima of sum of theta functions and application to Mueller-Ho Conjecture

Senping Luo Jiangxi normal University Juncheng Wei UBC

Number Theory mathscidoc:2201.24001

Arch. Rational Mech. Anal., 2021.11
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[78] Equidistribution of small points on abelian varieties

Shou-Wu Zhang Columbia University

Number Theory mathscidoc:1807.07009

Annals of Mathematics (2), 147, 159–165, 1998
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[79] Twisted orbital integrals and irreducible components of affine Deligne-Lusztig varieties

Rong Zhou Imperial College London Yihang Zhu Columbia University

Number Theory Representation Theory Algebraic Geometry mathscidoc:2005.24005

Gold Award Paper in 2020

Cambridge Journal of Mathematics, 8, (1), 2020.2
[ Download ] [ 2020-05-18 07:39:19 uploaded by yihangzhu ] [ 1122 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[80] On the averaged Colmez conjecture

Xinyi Yuan University of California at Berkeley Shou-Wu Zhang Princeton University

Number Theory mathscidoc:1807.24001

Best Paper Award in 2019

Annals of Math, 2018
[ Download ] [ 2018-07-21 23:00:47 uploaded by XY_Yuan ] [ 1121 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[81] Algebraic independence of periods and logarithms of Drinfeld modules. With an appendix by Brian Conrad.

Chieh-Yu Chang National Tsing Hua University Matthew A. Papanikolas Texas A&M University

Number Theory mathscidoc:1611.24010

Silver Award Paper in 2017

J. Amer. Math. Soc., 25, (1), 123-150, 2012
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[82] Genus Zero Modular Functions

Bong H. Lian Brandeis University Joshua L. Wiczer Brandeis University

Number Theory mathscidoc:1608.24002

2006
[ Download ] [ 2016-08-28 15:02:07 uploaded by lianbong ] [ 1107 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[83] Gross-Zagier formula for GL(2) II

Shou-Wu Zhang Princeton University

Number Theory mathscidoc:1808.07008

Heegner points and Rankin L-series, 191-214, 2003.3
[ Download ] [ 2018-08-08 21:31:32 uploaded by shouwu ] [ 1099 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[84] A weak kernel formula for Bessel functions

Jingsong Chai Hunan University

Number Theory mathscidoc:1705.24001

[ Download ] [ 2017-05-15 20:30:03 uploaded by Jingsong ] [ 1080 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[85] Heights of Kudla–Rapoport divisors and derivatives of L-functions

Jan Hendrik Bruinier Technische Universität Darmstadt Tonghai Yang University of Wisconsin Madison Benjamin Howard Boston University

Number Theory mathscidoc:1705.24004

Distinguished Paper Award in 2017

Invent. Math., 201, (1), 1-95, 2015
[ Download ] [ 2017-05-30 15:39:51 uploaded by yauawardadmin ] [ 1080 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[86] Taylor coefficients of t-motivic multiple zeta values and explicit formulae

Chieh-Yu Chang National Tsing Hua University Nathan Green University of California at San Diego Yoshinori Mishiba University of the Ryukyus

Number Theory mathscidoc:1904.24003

[ Download ] [ 2019-04-30 21:23:11 uploaded by cychang ] [ 1076 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[87] On the polynomial sharp upper estimate conjecture in 7-dimensional simplex

Stephen S.T. Yau Tsinghua University Beihui Yuan Tsinghua University Huaiqing Zuo Tsinghua University

Number Theory mathscidoc:1611.24014

2015.10
[ Download ] [ 2016-11-26 01:14:29 uploaded by hqzuo ] [ 1068 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[88] Zeros of the deformed exponential function

Liuquan Wang Wuhan University Cheng Zhang Johns Hopkins University

Analysis of PDEs Classical Analysis and ODEs Combinatorics Number Theory mathscidoc:2103.03003

Advances in Mathematics, 332, 311–348, 2018
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[89] On Vinogradov’s mean value theorem: strongly diagonal behaviour via efficient congruencing

Kevin Ford Department of Mathematics, University of Illinois at Urbana-Champaign Trevor D. Wooley School of Mathematics, University of Bristol

Number Theory mathscidoc:1701.24005

Acta Mathematica, 213, (2), 199-236, 2013.4
[ Download ] [ 2017-01-08 20:34:03 uploaded by actaadmin ] [ 1061 downloads ] [ 0 comments ] [ Cited by 7 ] [ Abstract ] [ Full ]
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[90] Completed prismatic F-crystals and crystalline Zp-local systems

Heng Du YMSC, Tsinghua Tong Liu Purdue University Yong Suk Moon University of Arizona Koji Shimizu Berkeley University

Number Theory Algebraic Geometry mathscidoc:2205.24004

2022.3
[ Download ] [ 2022-05-17 15:39:56 uploaded by hengdu ] [ 1061 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[91] The Jacquet–Langlands Correspondence via Twisted Descent

Dihua Jiang University of Minnesota Baiying Liu Purdue University Bin Xu Sichuan University Lei Zhang National University of Singapore

Number Theory Representation Theory mathscidoc:1803.24002

Int. Math. Res. Not. IMRN, 18, 5455–5492, 2016
[ Download ] [ 2018-03-02 04:52:06 uploaded by zhang_lei ] [ 1060 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[92] Characterization of a class of planar self-affine tile digit sets

Li-Xiang An Central China Normal University Ka-Sing Lau The Chinese University of HongKong&Central China Normal University

Number Theory mathscidoc:1701.24009

[ Download ] [ 2017-01-13 17:02:37 uploaded by anlixiang ] [ 1058 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[93] Representations of mock theta functions

Dandan Chen East China Normal University Liuquan Wang Wuhan University

Classical Analysis and ODEs Combinatorics Number Theory mathscidoc:2103.05001

Advances in Mathematics, 365, 107037, 2020
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[94] Equir´epartition des petits points

L. Szpiro Universite Paris–Sud E. Ullmo Universite Paris–Sud Shou-Wu Zhang Princeton University

Number Theory mathscidoc:1807.07007

Inventiones Mathmeticae, 127, 337–347, 1997
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[95] Anderson-Thakur polynomials and multizeta values in positive characteristic.

Huei-Jeng Chen Taida Institute for Mathematical Sciences

Number Theory mathscidoc:1610.24003

[ Download ] [ 2016-10-11 15:32:41 uploaded by hjchen1204 ] [ 1043 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[96] Sharp upper estimate of geometric genus and coordinate-free characterization of isolated homogeneous hypersurface singularities

Ke-Pao Lin S. RAGHUVANSHI, Stephen S.-T. YAU tsinghua University Huaiqing Zuo tsinghua University

Number Theory mathscidoc:1803.24008

to appearAsian J. Math., 2018
[ Download ] [ 2018-03-07 15:13:19 uploaded by hqzuo ] [ 1043 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[97] A Local-Global Equality on Every Affine Variety Admitting Points in An Arbitrary Rank-One Subgroup of a Global Function Field

Chia-Liang Sun Academia Sinica, Taiwan

Number Theory mathscidoc:1610.24012

[ Download ] [ 2016-10-30 15:37:27 uploaded by clsun ] [ 1039 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[98] On the distribution of multivariate Jacobi sums

Qing Lu School of Mathematical Sciences, Beijing Normal University Weizhe Zheng Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences

Number Theory mathscidoc:2006.24001

Finite Fields Appl., 73, 101840, 2021.8
[ Download ] [ 2020-06-09 08:52:56 uploaded by zheng ] [ 1038 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[99] Heights of Heegner points on Shimura curves

Shou-Wu Zhang Princeton University

Number Theory mathscidoc:1808.07004

Annals of Mathematics, 153, 27-147, 2001
[ Download ] [ 2018-08-04 23:15:25 uploaded by shouwu ] [ 1035 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[100] Invertible lattices

Esther Beneish University of Wisconsin-Parkside Ming-chang Kang National Taiwan University

Number Theory mathscidoc:1608.24001

[ Download ] [ 2016-08-18 17:20:09 uploaded by kang ] [ 1029 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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