Number Theory

[26] Arithmetic of Shimura curves

Shou-Wu Zhang Princeton University

Number Theory mathscidoc:1808.07015

SCIENCE CHINA Mathematics, 53, (3), 573–592, 2010
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[27] 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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[28] 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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[29] 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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[30] A subspace theorem for subvarieties

Min Ru Department of Mahtematics, University of Houston Julie Tzu-Yueh Wang Intitute of Mathematics, Acdemia Sinica, Taipei, Taiwan

Number Theory mathscidoc:1610.24009

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[31] Admissible pairing on a curve

Shou-Wu Zhang Princeton University

Number Theory mathscidoc:1807.07002

Inventiones Mathematicae, 112, (1), 171-193, 1993
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[32] 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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[33] Hankel Determinants, Pade Approximations, and Irrationality Exponents

Yann BUGEAUD I.R.M.A., Universite de Strasbourg et CNRS Guo-Niu HAN I.R.M.A., Universite de Strasbourg et CNRS Zhi-Ying WEN Department of Mathematics, Tsinghua University Jia-Yan YAO Department of Mathematics, Tsinghua University

Number Theory mathscidoc:1611.24012

Int. Math. Res. Not. IMRN , 2016, (5), 1467–1496, 2016.6
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[34] Modularity of open Gromov-Witten potentials of elliptic orbifolds

Siu-Cheong Lau The Chinese University of Hong Kong Jie Zhou Perimeter Institute

Number Theory mathscidoc:1610.24001

Communications in Number Theory and Physics, 9, (2), 345-385, 2015
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[35] Fourier transform and the global Gan-Gross-Prasad conjecture for unitary groups

Wei Zhang Columbia university

Number Theory mathscidoc:1703.24014

Distinguished Paper Award in 2017

Annals of Mathematics, 180, (3), 971--1049, 2014
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[36] On metaplectic forms over function fields

Fu-Tsun Wei National Central University

Number Theory mathscidoc:1611.24002

Mathematische Annalen, 355, (1), 235-258, 2013
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[37] Linear relations among double zeta values in positive characteristic

Chieh-Yu Chang National Tsing Hua University

Number Theory mathscidoc:1611.24011

Distinguished Paper Award in 2017

Cambridge Journal of Mathematics, 4, (3), 289-331, 2016
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[38] $p$-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
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[39] Iwasawa Main Conjecture for Rankin-Selberg p-adic L-functions

Xin Wan Morningside Center of Mathematics, AMSS, Chinese Academy of Science

Number Theory mathscidoc:1703.24006

to appear in Algebra and Number Theory
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[40] Critical points of the classical Eisenstein series of weight two

Zhijie Chen Tsinghua University Chang-Shou Lin National Taiwan University

Number Theory mathscidoc:1707.24001

Journal of Differential Geometry, 113, 189–226, 2019
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[41] 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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[42] 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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[43] Distributions in Algebraic Dynamics

Shou-Wu Zhang Princeton University

Number Theory mathscidoc:1808.07011

Surveys in differential geometry, 381-430, 2005
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[44] Waldspurger formula over function fields

Chih-Yun Chuang National Taiwan University Fu-Tsun Wei National Central University

Number Theory mathscidoc:1610.24011

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[45] G^-local systems on smooth projective curves are potentially automorphic

Gebhard Böckle Universität Heidelberg Michael Harris Columbia University Chandrashekhar Khare University of California Los Angeles Jack A. Thorne University of Cambridge

Number Theory mathscidoc:1911.43042

Acta Mathematica, 223, (1), 1-111, 2019
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[46] 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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[47] On derivatives of Siegel-Eisenstein series over global function fields

Fu-Tsun Wei National Central University

Number Theory mathscidoc:1610.24010

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[48] 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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[49] Congruent Numbers and Heegner Points

Ye Tian Academy of Mathematics and Systems Science

Number Theory mathscidoc:1705.24003

Distinguished Paper Award in 2017

Cambridge J. of Math, 2, (1), 117-161, 2014
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[50] 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.
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