Number Theory

[76] When Kloosterman sums meet Hecke eigenvalues

Ping Xi Xi'an Jiaotong University

Number Theory mathscidoc:2005.24003

Silver Award Paper in 2020

Inventiones mathematicae, 220, 61-127, 2020
[ Download ] [ 2020-05-13 10:03:03 uploaded by PINGXI ] [ 1695 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[77] Heegner points on modular curves

Li Cai Yau Mathematical Sciences Center, Tsinghua University Yihua Chen Academy of Mathematics and Systems Science, Morningside center of Mathematics, Chinese Academy of Sciences 刘余 Yau Mathematical Sciences Center, Tsinghua University

Number Theory mathscidoc:2205.24001

2017.12
[ Download ] [ 2022-05-17 14:26:13 uploaded by YuLiu ] [ 1687 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[78] P-adic families of automorphic forms over some unitary Shimura varieties

Xu Shen Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences

Number Theory mathscidoc:1703.24002

[ Download ] [ 2017-03-09 10:28:08 uploaded by shen ] [ 1682 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[79] Generic abelian varieties with real multiplication are not Jacobians

Johan de Jong Columbia University Shou-Wu Zhang Princeton University

Number Theory mathscidoc:1808.07012

Diophantine geometry, 165-172, 2007
[ Download ] [ 2018-08-16 15:15:14 uploaded by shouwu ] [ 1680 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[80] 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 ] [ 1673 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[81] The Seiberg-Witten equations and the length spectrum of hyperbolic three-manifolds

Francesco Lin Michael Lipnowski

Differential Geometry Geometric Analysis and Geometric Topology Number Theory mathscidoc:2203.10007

Journal of the Americal Mathematical Society, 35, (1), 233-293, 2022.1
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[82] On arithmetic fundamental lemmas

Wei Zhang Columbia university

Number Theory mathscidoc:1703.24013

Gold Award Paper in 2017

Inventiones mathematicae, 188, (1), 197-252, 2012.4
[ Download ] [ 2017-03-15 10:04:43 uploaded by wzhang ] [ 1657 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[83] Towards a Dynamical Manin–Mumford Conjecture

Dragos Ghioca University of British Columbia Thomas J. Tucker University of Rochester Shou-Wu Zhang Princeton University

Number Theory mathscidoc:1808.07016

International Mathematics Research Notices, 2011, (22), 5109–5122, 2011
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[84] On the density of abelian l-extensions

Yen-Liang Kuan Chih Yun Chuang

Number Theory mathscidoc:1610.24002

[ Download ] [ 2016-10-04 14:25:48 uploaded by cychuang ] [ 1638 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[85] $p$-adic logarithmic forms and a problem of Erdős

Kunrui Yu Department of Mathematics, Hong Kong University of Science and Technology

Number Theory mathscidoc:1701.24003

Acta Mathematica, 211, (2), 315-382, 2011.6
[ Download ] [ 2017-01-08 20:34:02 uploaded by actaadmin ] [ 1638 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[86] Linear independence of monomials of multizeta values in positive characteristic

Chieh-Yu Chang National Tsing Hua University

Number Theory mathscidoc:1611.24008

Compositio Mathematica, 150, 1789-1808, 2014
[ Download ] [ 2016-11-15 10:39:33 uploaded by cychang ] [ 1635 downloads ] [ 0 comments ] [ Cited by 9 ] [ Abstract ] [ Full ]
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[87] An effective criterion for Eulerian multizeta values in positive characteristic

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

Number Theory mathscidoc:1611.24009

to appear in J. Euro. Math. Soc.
[ Download ] [ 2016-11-15 10:44:42 uploaded by cychang ] [ 1626 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[88] Heights of Heegner cycles and derivatives of L-series

Shou-Wu Zhang Columbia University

Number Theory mathscidoc:1807.07008

Inventiones Mathematicae, 130, 99-152, 1997
[ Download ] [ 2018-07-17 23:27:50 uploaded by shouwu ] [ 1624 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[89] New test vector for Waldspurger's period integral, relative trace formula, and hybrid subconvexity bounds

Yueke Hu Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China Paul D.Nelson Department of Mathematics, ETH Zurich, Zurich, Switzerland

Number Theory mathscidoc:2206.24013

[ Download ] [ 2022-06-29 15:12:01 uploaded by yueke ] [ 1619 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[90] The Birch and Swinnerton-Dyer Formula for Elliptic Curves of Analytic Rank One

Dimitar Jetchev EPFL, Switzerland Christopher Skinner Princeton University, USA Xin Wan Morningside Center of Mathematics, AMSS, Chinese Academy of Science, China

Number Theory mathscidoc:1703.24005

Best Paper Award in Mathematics in 2018

Cambridge Journal of Mathematics, 5, (3), 369-434, 2017
[ Download ] [ 2017-03-09 16:55:34 uploaded by xinwan1985 ] [ 1615 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[91] On the arithmetic transfer conjecture for exotic smooth formal moduli spaces

M. Rapoport University of Bonn B. Smithling Johns Hopkins University Wei Zhang Columbia university

Number Theory mathscidoc:1703.24016

Duke Math. J.
[ Download ] [ 2017-03-15 10:31:59 uploaded by wzhang ] [ 1610 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[92] 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 ] [ 1600 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[93] An application of a theorem of Emerton to mod p representations of GL_2

Yongquan Hu Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences

Number Theory mathscidoc:1703.24008

[ Download ] [ 2017-03-11 16:06:07 uploaded by yongquanhu ] [ 1598 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[94] 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 ] [ 1597 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[95] On some generalized Rapoport-Zink spaces

Xu Shen Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences

Number Theory mathscidoc:1703.24003

[ Download ] [ 2017-03-09 10:33:51 uploaded by shen ] [ 1597 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[96] Square-free values of$f$($p$),$f$cubic

Harald Andrés Helfgott Département de Mathématiques, École Normale Supérieure

Number Theory mathscidoc:1701.24004

Acta Mathematica, 213, (1), 107-135, 2012.6
[ Download ] [ 2017-01-08 20:34:03 uploaded by actaadmin ] [ 1578 downloads ] [ 0 comments ] [ Cited by 2 ] [ Abstract ] [ Full ]
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[97] 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 ] [ 1577 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[98] 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 ] [ 1555 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[99] A remark on a converse theorem of Cogdell and Piatetski-Shapiro

Herve Jacquet Columbia University Baiying Liu Purdue University

Number Theory Representation Theory mathscidoc:1803.24004

J. Reine Angew. Math. , 2018
[ Download ] [ 2018-03-02 14:08:14 uploaded by Baiying_Liu ] [ 1540 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[100] 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 ] [ 1534 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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