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] Random matrices: Universality of local eigenvalue statistics

Terence Tao Department of Mathematics, University of California, Los Angeles Van Vu Department of Mathematics, Rutgers

Number Theory Probability mathscidoc:1701.24001

Acta Mathematica, 206, (1), 127-204, 2009.6
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[4] Elliptic curves, L-functions, and CM-points

Shou-Wu Zhang Princeton University

Number Theory mathscidoc:1808.07007

Current developments in mathematics, 179-219, 2002.7
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[5] 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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[6] 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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[7] 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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[8] 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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[9] About the strong EULER-GOLDBACH conjecture

SAINTY university

Number Theory mathscidoc:2211.24001

14, 2022.7
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[10] Weil representation and arithmetic fundamental lemma

Zhang Wei Massachusetts Institute of Technology, Cambridge MA 02141

Number Theory Algebraic Geometry arXiv subject: Representation Theory (math.RT) mathscidoc:2203.24006

Annals of Mathematics, 193, 863-978, 2021.5
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[11] 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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[12] 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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[13] 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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[14] Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces, II: newforms and subconvexity

Yueke Hu Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China Abhishek Saha School of Mathematical Sciences, Queen Mary University of London, London E1 4NS, UK

Number Theory mathscidoc:2206.24014

Compositio Mathematica, 156, (11), 2368-2398, 2020.12
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[15] IWASAWA Main Conjecture for Supersingular Elliptic curves

Xin Wan Morningside Center of Mathematics, Chinese Acadey of Sciences

Number Theory mathscidoc:1703.24004

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[16] 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
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[17] M\"{o}bius disjointness for a class of exponential functions

Weichen Gu Department of Mathematics, University of New Hampshire, Durham, NH 03824, USA --and--Academy of Mathematics and Systems Science, Chinese Academy of Sciences Fei Wei Yau Mathematical Sciences Center, Tsinghua University

Dynamical Systems Number Theory mathscidoc:2205.11013

The Quarterly Journal of Mathematics, 2022.3
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[18] 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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[19] 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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[20] Bessel F-isocrystals for reductive groups

Daxin Xu Morningside Center of Mathematics and Hua Loo-Keng Key Laboratory of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China; School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China Xinwen Zhu Department of Mathematics, California Institute of Technology, Pasadena, CA 91125, USA

Number Theory Algebraic Geometry mathscidoc:2203.24005

Inventiones Mathematicae, 227, 997-1092, 2022.1
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[21] Uniformity in Mordell-Lang for curves

Vesselin Dimitrov University of Toronto Ziyang Gao CNRS, IMJ-PRG Philipp Habegger University of Basel

Number Theory mathscidoc:2005.24001

[ Download ] [ 2020-05-04 03:15:38 uploaded by zgao ] [ 3128 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[22] 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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[23] 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
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[24] 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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[25] A G_2-period of a Fourier coefficient of an Eisenstein series on E_6

Aaron Pollack Duke University Chen Wan Massachusetts Institute of Technology Michal Zydor University of Michigan

Number Theory Representation Theory mathscidoc:1908.24003

Israel Journal of Mathematics, to appear
[ Download ] [ 2019-08-20 23:58:36 uploaded by chenwan ] [ 2960 downloads ] [ 170 comments ] [ Abstract ] [ Full ]
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