Number Theory

[51] 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
[ Download ] [ 2017-03-11 16:10:05 uploaded by yongquanhu ] [ 2878 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[52] Small points and adelic metrics

Shou-Wu Zhang Princeton University

Number Theory mathscidoc:1807.07005

Journal of Algebraic Geometry, 4, (2), 1-18, 1993
[ Download ] [ 2018-07-15 22:33:39 uploaded by shouwu ] [ 2856 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[53] 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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[54] A conjecture based on Somos-4 sequence and its extension

Xiang-Ke Chang Xing-Biao Hu

Number Theory mathscidoc:1912.43165

Linear Algebra and its Applications, 436, (11), 4285-4295, 2012.6
[ Download ] [ 2019-12-21 11:27:02 uploaded by Xiang_Ke_Chang ] [ 2762 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[55] On cuspidality of global Arthur packets for symplectic groups

Dihua Jiang University of Minnesota Baiying Liu Purdue University

Number Theory Representation Theory mathscidoc:1803.24005

Geometric aspects of the trace formula, Simons Symposia, 2018
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[56] Heights in families of abelian varieties and the Geometric Bogomolov Conjecture

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

Number Theory Algebraic Geometry mathscidoc:2005.24004

Gold Award Paper in 2020

Annals of Mathematics, 189, 527-604, 2019
[ Download ] [ 2020-05-15 20:04:11 uploaded by zgao ] [ 2720 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[57] 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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[58] Waldspurger formula over function fields

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

Number Theory mathscidoc:1610.24011

[ Download ] [ 2016-10-28 11:11:44 uploaded by yfwfc1208 ] [ 2678 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[59] Positive line bundles on arithmetic surfaces

Shou-Wu Zhang Columbia University

Number Theory mathscidoc:1807.07001

Annals of Mathematics (2), 136, (3), 569-587, 1992
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[60] A strong multiplicity one theorem for SL(2)

Jingsong Chai Hunan University

Number Theory mathscidoc:1705.24002

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[61] A remark on a converse theorem of Cogdell and Piatetski-Shapiro

Herve Jacquet Columbia University Baiying Liu Purdue University

Number Theory Representation Theory mathscidoc:1803.24004

J. Reine Angew. Math. , 2018
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[62] 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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[63] 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

[ Download ] [ 2016-10-21 09:44:09 uploaded by cychuang ] [ 2632 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[64] L-packets of quasisplit GSp(2n) and GO(2n)

Bin Xu Department of Mathematics and Statistics, University of Calgary, Calgary, Canada

Number Theory Representation Theory mathscidoc:2206.24003

Mathematische Annalen, 370, 71-189, 2017.1
[ Download ] [ 2022-06-18 16:26:30 uploaded by xubin ] [ 2583 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[65] On the Local Converse Theorem for p-adic GLn

Herve Jacquet Columbia University Baiying Liu Purdue University

Number Theory Representation Theory mathscidoc:1803.24003

Best Paper Award in 2019

Amer. J. Math. , 2018
[ Download ] [ 2018-03-02 14:02:51 uploaded by Baiying_Liu ] [ 2576 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[66] 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 ] [ 2533 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[67] 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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[68] On the density of abelian l-extensions

Yen-Liang Kuan Chih Yun Chuang

Number Theory mathscidoc:1610.24002

[ Download ] [ 2016-10-04 14:25:48 uploaded by cychuang ] [ 2485 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[69] New test vector for Waldspurger's period integral, relative trace formula, and hybrid subconvexity bounds

Yueke Hu Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China Paul D.Nelson Department of Mathematics, ETH Zurich, Zurich, Switzerland

Number Theory mathscidoc:2206.24013

[ Download ] [ 2022-06-29 15:12:01 uploaded by yueke ] [ 2469 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[70] 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 ] [ 2462 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[71] 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

[ Download ] [ 2017-01-13 17:02:37 uploaded by anlixiang ] [ 2439 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[72] 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 ] [ 2438 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[73] Waldspurger's period integral for newforms

Yueke Hu Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China Jie Shu School of Mathematical Sciences, Tongji University, Shanghai 200092, China Hongbo Yin School of Mathematics, Shandong University, Jinan, Shandong 250100, China

Number Theory mathscidoc:2206.24012

Acta Arithmetica, 195, (2), 177-197, 2020.5
[ Download ] [ 2022-06-29 15:08:50 uploaded by yueke ] [ 2354 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[74] A weak kernel formula for Bessel functions

Jingsong Chai Hunan University

Number Theory mathscidoc:1705.24001

[ Download ] [ 2017-05-15 20:30:03 uploaded by Jingsong ] [ 2318 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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[75] 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 ] [ 2304 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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