Number Theory

[1] Gauss-manin connection in disguise: genus two curves

Jin Cao Yau Mathematical Sciences Center Hossein Movasati IMPA Shing-Tung Yau Harvard University

Number Theory Algebraic Geometry mathscidoc:2204.24007

Adv in Math, 383, 2021.10
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[2] Bounded gaps between primes

Yitang Zhang University of New Hampshire

Number Theory mathscidoc:1705.24005

Ann. of Math. , 179, (3), 1121–1174, 2014
[ Download ] [ 2017-05-31 10:23:15 uploaded by yauawardadmin ] [ 3019 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[3] Shtukas and the Taylor expansion of L-functions

Zhiwei Yun Yale University Wei Zhang Columbia University

Number Theory mathscidoc:1703.24017

Gold Award Paper in 2017

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[4] Companions on Artin stacks

Weizhe Zheng Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences

Arithmetic Geometry and Commutative Algebra Number Theory mathscidoc:1704.01001

Distinguished Paper Award in 2019

Mathematische Zeitschrift, 292, 57-81, 2019
[ Download ] [ 2017-04-01 17:33:16 uploaded by zheng ] [ 2170 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[5] Weight Distributions of a Class of Cyclic Codes with Arbitrary Number of Nonzeros in Quadratic Case

Jing Yang Department of Mathematical Sciences, Tsinghua University Maosheng Xiong Department of Mathematics, The Hong Kong University of Science andTechnology LingliXia Basic Courses Department, Beijing Union University

Number Theory mathscidoc:1612.24001

Finite Fields and Their Applications, 36, 41-62, 2015
[ Download ] [ 2016-12-09 11:47:39 uploaded by yangjing ] [ 1983 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[6] Triple product formula and the subconvexity bound of triple product l-function in level aspect

Yueke Hu MSRI

Number Theory mathscidoc:1703.24018

Distinguished Paper Award in 2017

Amer. J. Math.
[ Download ] [ 2017-03-15 22:54:52 uploaded by yueke ] [ 1937 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[7] Brandt matrices and theta series over global function fields

Chih-Yun Chuang National Taiwan University Ting-Fang Lee National Tsing Hua University Fu-Tsun Wei National Central University Jing Yu National Taiwan University

Number Theory mathscidoc:1611.24004

Memoirs of the American Mathematical Society, 237, (1117), 2015
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[8] A prismatic approach to (φ,Ĝ )-modules and F-crystals

Heng Du YMSC, Tsinghua Tong Liu Purdue University

Number Theory Algebraic Geometry mathscidoc:2205.24003

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[9] On the Siegel-Weil formula over function fields

Fu-Tsun Wei National Central University

Number Theory mathscidoc:1611.24005

The Asian Journal of Mathematics, 19, (3), 487-526, 2015
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[10] About the strong EULER-GOLDBACH conjecture

SAINTY university

Number Theory mathscidoc:2211.24001

14, 2022.7
[ Download ] [ 2022-11-19 15:23:44 uploaded by SAINTY ] [ 1604 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[11] Levy-Khintchin Theorem for best simultaneous Diophantine approximations

Yitwah Cheung Nicolas Chevallier

Dynamical Systems Number Theory mathscidoc:2207.11001

Annales Scientifiques de l'Ecole Normale Superieure
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[12] Log-algebraic identities on Drinfeld modules and special L-values

Chieh-Yu Chang National Tsing Hua University Ahmad El-Guindy Texas A&M University in Qatar Matthew A. Papanikolas Texas A&M University

Number Theory mathscidoc:1703.24019

[ Download ] [ 2017-03-23 15:22:07 uploaded by cychang ] [ 1477 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[13] The Breuil-Mézard conjecture for non-scalar split residual representations

Yongquan Hu University of Rennes 1 Fucheng Tan Michigan State University

Number Theory mathscidoc:1703.24009

Distinguished Paper Award in 2017

Ann. Scient. de l'E.N.S, 48, 1381-1419, 2015
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[14] Gross-Schoen cycles and Dualising sheaves

Shou-Wu Zhang Princeton University

Number Theory mathscidoc:1808.07014

Inventiones Mathmeticae, 179, (1), 1-73, 2010
[ Download ] [ 2018-08-16 15:22:43 uploaded by shouwu ] [ 1458 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[15] LLL and stochastic sandpile models

Jintai Ding Seungki Kim Tsuyoshi Takagi Yuntao Wang

Number Theory arXiv subject: Statistical Mechanics (cond-mat.stat-mech) mathscidoc:2207.24001

arXiv, 2020.3
[ Download ] [ 2022-07-22 17:11:34 uploaded by dingjt ] [ 1453 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[16] Noether's problem for cyclic groups of prime order

Ming-chang Kang Department of Mathematics, National Taiwan University

Number Theory mathscidoc:1702.24001

[ Download ] [ 2017-02-17 15:11:06 uploaded by kang ] [ 1421 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[17] On Rankin triple product L-functions over function fields: central critical values

Fu-Tsun Wei National Central University

Number Theory mathscidoc:1611.24003

Mathematische Zeitschrift, 276, 925-951, 2014
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[18] Parity and symmetry in intersection and ordinary cohomology

Shenghao Sun Yau Mathematical Sciences Center, Tsinghua University Weizhe Zheng Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences

Arithmetic Geometry and Commutative Algebra Number Theory mathscidoc:1703.24001

Algebra & Number Theory, 10, (2), 235-307, 2016
[ Download ] [ 2017-03-08 21:07:55 uploaded by zheng ] [ 1389 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[19] Automorphic period and the central value of Rankin-Selberg L-function

Wei Zhang columbia university

Number Theory mathscidoc:1703.24015

Distinguished Paper Award in 2019

J. Amer. Math. Soc, 27, 541-612 , 2014
[ Download ] [ 2017-03-15 10:28:24 uploaded by wzhang ] [ 1374 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[20] Hasse-Witt matrices, unit roots and period integrals

An Huang Brandeis University Bong Lian Brandeis University Shing-Tung Yau Harvard University Chenglong Yu Harvard University

Number Theory mathscidoc:1802.01001

2018.1
[ Download ] [ 2018-02-08 15:14:59 uploaded by yucl08 ] [ 1366 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[21] Genus periods, genus points and congruent number problem

Ye Tian Morningside center of Mathematics, Chinese Academy of Sciences Xinyi Yuan University of California, Berkeley Shou-Wu Zhang Princeton University

Number Theory mathscidoc:1808.07018

Asian Journal of Mathematics, 21, (4), 721-774, 2017
[ Download ] [ 2018-08-16 23:28:49 uploaded by shouwu ] [ 1363 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[22] Kronecker limit formula over global function fields

Fu-Tsun Wei National Central University

Number Theory mathscidoc:1611.24006

Distinguished Paper Award in 2019

American Journal of Mathematics, 139, (4), 1047-1084, 2017
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[23] Multiplicity one for the mod $p$ cohomology of Shimura curves: the tame case

Yongquan Hu Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences Haoran Wang Michigan State University

Number Theory mathscidoc:1703.24007

[ Download ] [ 2017-03-11 16:01:35 uploaded by yongquanhu ] [ 1353 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[24] Arithmetic of Shimura curves

Shou-Wu Zhang Princeton University

Number Theory mathscidoc:1808.07015

SCIENCE CHINA Mathematics, 53, (3), 573–592, 2010
[ Download ] [ 2018-08-16 22:15:21 uploaded by shouwu ] [ 1347 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[25] The Petersson/Kuznetsov trace formula with prescribed local ramifications

Yueke Hu Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China

Number Theory mathscidoc:2206.24015

[ Download ] [ 2022-06-29 15:18:04 uploaded by yueke ] [ 1339 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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