Number Theory

[1] Logarithmic Interpretation of Multiple Zeta Values in Positive Characteristic

Chieh-Yu Chang National Tsing Hua University Yoshinori Mishiba Fukuoka Institute of Technology

Number Theory mathscidoc:1711.24001

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[2] 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

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[3] 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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[4] Heights of Kudla–Rapoport divisors and derivatives of L-functions

Jan Hendrik Bruinier Technische Universität Darmstadt Tonghai Yang University of Wisconsin Madison Benjamin Howard Boston University

Number Theory mathscidoc:1705.24004

Invent. Math., 201, (1), 1-95, 2015
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[5] Congruent Numbers and Heegner Points

Ye Tian Academy of Mathematics and Systems Science

Number Theory mathscidoc:1705.24003

Cambridge J. of Math, 2, (1), 117-161, 2014
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[6] A strong multiplicity one theorem for SL(2)

Jingsong Chai Hunan University

Number Theory mathscidoc:1705.24002

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[7] A weak kernel formula for Bessel functions

Jingsong Chai Hunan University

Number Theory mathscidoc:1705.24001

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[8] 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

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[9] 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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[10] Triple product formula and the subconvexity bound of triple product l-function in level aspect

Yueke Hu MSRI

Number Theory mathscidoc:1703.24018

Amer. J. Math.
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[11] Shtukas and the Taylor expansion of L-functions

Zhiwei Yun Yale University Wei Zhang Columbia University

Number Theory mathscidoc:1703.24017

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[12] 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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[13] Automorphic period and the central value of Rankin-Selberg L-function

Wei Zhang columbia university

Number Theory mathscidoc:1703.24015

J. Amer. Math. Soc, 27, 541-612 , 2014
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[14] Fourier transform and the global Gan-Gross-Prasad conjecture for unitary groups

Wei Zhang Columbia university

Number Theory mathscidoc:1703.24014

Annals of Mathematics, 180, (3), 971--1049, 2014
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[15] On arithmetic fundamental lemmas

Wei Zhang Columbia university

Number Theory mathscidoc:1703.24013

Inventiones mathematicae, 188, (1), 197-252, 2012.4
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[16] The Birch and Swinnerton-Dyer Conjecture For Q-Curves and Oda's Period Relations

Yu Zhao John Abbbott College Victor Rotger Universitat Polit ` ecnica de Catalunya Henri Darmon McGill University

Number Theory mathscidoc:1703.24012

Geometry and Analysis of Automorphic forms of several variables, Proceedings of the International Symposium in Honor of Takayuki Oda on the Occasion of his 60th birthday, Series on Number Theory and its applications, 7, 1-40, 2012
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[17] Almost Totally Complex Points on Elliptic Curves

Yu Zhao John Abbott College Victor Rotger Universitat Politecnica de Catalunya, Xavier Guitart Universitat Politecnica de Catalunya

Number Theory mathscidoc:1703.24011

Transactions Amer. Math. Soc, 336, 2773-3802, 2014
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[18] Iwasawa Main Conjecture for Non-ordinary Modular Forms

Xin Wan Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Science

Number Theory mathscidoc:1703.24010

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[19] 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

Ann. Scient. de l'E.N.S, 48, 1381-1419, 2015
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[20] 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

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[21] 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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[22] 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

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[23] 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

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[24] 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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[25] 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

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[26] 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

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[27] 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
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[28] Noether's problem for cyclic groups of prime order

Ming-chang Kang Department of Mathematics, National Taiwan University

Number Theory mathscidoc:1702.24001

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[29] 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

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[30] Riemann’s zeta-function and the divisor problem. III

Matti Jutila Department of Mathematics and Statistics, University of Turku

Number Theory mathscidoc:1701.24008

Arkiv for Matematik, 53, (2), 303-315, 2014.3
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[31] An asymptotic formula for the primitive of Hardy’s function

Matti Jutila Department of Mathematics, University of Turku

Number Theory mathscidoc:1701.24007

Arkiv for Matematik, 49, (1), 97-107, 2009.3
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[32] 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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[33] On Vinogradov’s mean value theorem: strongly diagonal behaviour via efficient congruencing

Kevin Ford Department of Mathematics, University of Illinois at Urbana-Champaign Trevor D. Wooley School of Mathematics, University of Bristol

Number Theory mathscidoc:1701.24005

Acta Mathematica, 213, (2), 199-236, 2013.4
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[34] 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
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[35] $p$-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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[36] 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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[37] Erratum to “The primes contain arbitrarily long polynomial progressions”

Terence Tao Department of Mathematics, University of California, Los Angeles Tamar Ziegler Department of Mathematics, University of Michigan

Functional Analysis Number Theory mathscidoc:1701.12003

Acta Mathematica, 210, (2), 403-404, 2013.2
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[38] 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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[39] 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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[40] A sharp estimate of positive integral points in 6-dimensional polyhedra and a sharp estimate of smooth numbers

Andrew Liang University of Illinois at Urbana-Champaign, Stephen S.-T. Yau Tsinghua University Huaiqing Zuo Tsinghua University

Number Theory mathscidoc:1611.24015

2015.8
[ Download ] [ 2016-11-26 01:17:41 uploaded by hqzuo ] [ 45 downloads ] [ 0 comments ] [ Cited by 1 ] [ Abstract ] [ Full ]
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[41] On the polynomial sharp upper estimate conjecture in 7-dimensional simplex

Stephen S.T. Yau Tsinghua University Beihui Yuan Tsinghua University Huaiqing Zuo Tsinghua University

Number Theory mathscidoc:1611.24014

2015.10
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[42] A sharp polynomial estimate of positive integral points in a 4-dimensional tetrahedron and a sharp estimate of the Dickman-de Bruijn function

Xue Luo Beihang University Stephen S.-T. Yau Tsinghua University Huaiqing Zuo Tsinghua University

Number Theory mathscidoc:1611.24013

Math. Nachr., 288, 2015.2
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[43] 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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[44] Linear relations among double zeta values in positive characteristic

Chieh-Yu Chang National Tsing Hua University

Number Theory mathscidoc:1611.24011

Cambridge Journal of Mathematics, 4, (3), 289-331, 2016
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[45] Algebraic independence of periods and logarithms of Drinfeld modules. With an appendix by Brian Conrad.

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

Number Theory mathscidoc:1611.24010

J. Amer. Math. Soc., 25, (1), 123-150, 2012
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[46] 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.
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[47] 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
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[48] Theta series and function field analogue of Gross formula

Fu-Tsun Wei National Central University Jing Yu National Taiwan University

Number Theory mathscidoc:1611.24007

Documenta Mathematica, 16, 723-765, 2011
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[49] Kronecker limit formula over global function fields

Fu-Tsun Wei National Central University

Number Theory mathscidoc:1611.24006

American Journal of Mathematics
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[50] 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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[51] 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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[52] 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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[53] 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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[54] On finite Carlitz multiple polylogarithms

Chieh-Yu Chang National Tsing Hua University Yoshinori Mishiba National Institute of Technology, Oyama College

Number Theory mathscidoc:1611.24001

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[55] A Local-Global Equality on Every Affine Variety Admitting Points in An Arbitrary Rank-One Subgroup of a Global Function Field

Chia-Liang Sun Academia Sinica, Taiwan

Number Theory mathscidoc:1610.24012

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[56] 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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[57] 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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[58] 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

[ Download ] [ 2016-10-21 20:57:07 uploaded by TzuyuehWang ] [ 116 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[59] On multiple polylogarithms in characteristic $p$: $v$-adic vanishing versus $\infty$-adic Eulerian

Chieh-Yu Chang National Tsing Hua University Yoshinori Mishiba National Institute of Technology, Oyama College

Number Theory mathscidoc:1610.24008

[ Download ] [ 2016-10-21 17:20:41 uploaded by cychang ] [ 148 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[60] Average values of higher moments of quadratic l-functions over rational function fields

Chih Yun Chuang

Number Theory mathscidoc:1610.24007

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[61] On central critical values of rankin-type l-functions over global function fields

Chih Yun Chuang Fu-Tsun, Wei Jing-Yu

Number Theory mathscidoc:1610.24006

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[62] Baker-Schmidt theorem for Hausdorff dimensions in finite characteristic

Huei-Jeng Chen Taida Institute for Mathematical Sciences

Number Theory mathscidoc:1610.24005

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[63] On Shuffle of Double Eisenstein series in positive characteristic

Huei-Jeng Chen Taida Institute for Mathematical Sciences

Number Theory mathscidoc:1610.24004

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[64] Anderson-Thakur polynomials and multizeta values in positive characteristic.

Huei-Jeng Chen Taida Institute for Mathematical Sciences

Number Theory mathscidoc:1610.24003

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[65] On the density of abelian l-extensions

Yen-Liang Kuan Chih Yun Chuang

Number Theory mathscidoc:1610.24002

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[66] 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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[67] Genus Zero Modular Functions

Bong H. Lian Brandeis University Joshua L. Wiczer Brandeis University

Number Theory mathscidoc:1608.24002

2006
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[68] 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 ] [ 57 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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