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
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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] 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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[5] 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.
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[6] 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
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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] 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
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[9] About the strong EULER-GOLDBACH conjecture

SAINTY university

Number Theory mathscidoc:2211.24001

14, 2022.7
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[10] 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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[11] Gross-Schoen cycles and Dualising sheaves

Shou-Wu Zhang Princeton University

Number Theory mathscidoc:1808.07014

Inventiones Mathmeticae, 179, (1), 1-73, 2010
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[12] 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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[13] 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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[14] 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
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[15] 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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[16] 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
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[17] Doubling Constructions and Tensor Product L-Functions: the linear case

Yuanqing Cai Weizmann Institute of Science Solomon Friedberg Boston College David Ginzburg Tel Aviv University Eyal Kaplan Bar Ilan University

Number Theory Representation Theory mathscidoc:2105.24001

Invent. Math., 217, (3), 985–1068, 2019.9
[ Download ] [ 2021-05-12 13:24:31 uploaded by YuanqingCai ] [ 1769 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[18] On the structure of some p-adic period domains

Miaofen Chen School of Mathematical Sciences, Shanghai Key Laboratory of PMMP, East China Normal University, Shanghai, China Laurent Fargues CNRS, Institut de Mathématiques de Jussieu, Paris, France Xu Shen Morningside Center of Mathematics, Academy of Mathematics and Systems Science, C.A.S., Beijing, China

Number Theory Algebraic Geometry mathscidoc:2203.24003

Cambridge Journal of Mathematics, 9, (1), 213-267, 2021.10
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[19] 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

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[20] 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
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[21] 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

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[22] 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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[23] The big de Rham–Witt complex

Lars Hesselholt Graduate School of Mathematics, Nagoya University

Number Theory mathscidoc:1701.24006

Acta Mathematica, 214, (1), 135-207, 2013.6
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[24] The arithmetic Hodge index theorem for adelic line bundles

Xinyi Yuan UC Berkeley Shou-Wu Zhang Princeton University

Number Theory mathscidoc:1808.07017

Mathematische Annalen, 367, 1123-1171, 2017
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[25] On divisors of Lucas and Lehmer numbers

Cameron L. Stewart Department of Pure Mathematics, University of Waterloo

Number Theory mathscidoc:1701.24002

Acta Mathematica, 211, (2), 291-314, 2012.2
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