Number theory : arithmetic in Shangri-La : proceedings of the 6th China-Japan Seminar, Shanghai, China, 15-17 August 2011

Author(s)

Bibliographic Information

Number theory : arithmetic in Shangri-La : proceedings of the 6th China-Japan Seminar, Shanghai, China, 15-17 August 2011

editors, Shigeru Kanemitsu, Hongze Li, Jianya Liu

(Series on number theory and its applications / series editor, Shigeru Kanemitsu, v. 8)

World Scientific, c2013

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Note

"This present volume is the proceedings of the 6th China-Japan Seminar on Number Theory 'Arithmetic in Shangri-La'".--Pref

Includes bibliographical references and index

Description and Table of Contents

Description

This volume is based on the successful 6th China-Japan Seminar on number theory that was held in Shanghai Jiao Tong University in August 2011. It is a compilation of survey papers as well as original works by distinguished researchers in their respective fields. The topics range from traditional analytic number theory - additive problems, divisor problems, Diophantine equations - to elliptic curves and automorphic L-functions. It contains new developments in number theory and the topics complement the existing two volumes from the previous seminars which can be found in the same book series.

Table of Contents

  • On Jacobi Forms with Levels (Hiroki Aoki)
  • Additive Representation in Thin Sequences, VIII: Diophantine Inequalities in Review (Jorg Brudern, Koichi Kawada and Trevor D Wooley)
  • Annexe to the Gallery: An Addendum to "Additive Representation in Thin Sequences, VIII: Diophantine Inequalities in Review" (Jorg Brudern, Koichi Kawada and Trevor D Wooley)
  • A Note on the Distribution of Primes in Arithmetic Progressions (Zhen Cui and Boqing Xue)
  • Matrices of Finite Abelian Groups, Finite Fourier Transform and Codes (Shigeru Kanemitsu and Michel Waldschmidt)
  • A Remark on a Result of Eichler (Yoshiyuki Kitaoka)
  • On Weyl Sums over Primes in Short Intervals (Angel V Kumchev)
  • On Congruences for Certain Binomial Coefficients of E Lehmer's Type (Takako Kuzumaki and Jerzy Urbanowicz)
  • Sign Changes of the Coefficients of Automorphic L-Functions (Yuk-Kam Lau, Jianya Liu and Jie Wu)
  • On Fourier Coefficients of Automorphic Forms (Guangshi Lu)
  • The Twists of Hessian Elliptic Curves over Splitting Fields of Cubic Polynomials and the Related Elliptic 3-Folds (Katsuya Miyake)
  • Asymptotic Voronoi's Summation Formulas and Their Duality for SL3( ) (Xiumin Ren and Yangbo Ye)
  • Jerzy Urbanowicz's Work in Pure Mathematics (Andrzej Schinzel)
  • Conjectures Involving Arithmetical Sequences (Zhi-Wei Sun).

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Details

  • NCID
    BB12322129
  • ISBN
    • 9789814452441
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    engchi
  • Place of Publication
    Hackensac, N.J.
  • Pages/Volumes
    xii, 260 p.
  • Size
    24 cm
  • Parent Bibliography ID
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