Number Theory: Arithmetic In Shangri-La: Proceedings Of The 6th China-Japan Seminar, 1st Edition

  • Published By: World Scientific Publishing Company
  • ISBN-10: 9814452459
  • ISBN-13: 9789814452458
  • DDC: 512.7
  • Grade Level Range: College Freshman - College Senior
  • 272 Pages | eBook
  • Original Copyright 2013 | Published/Released January 2015
  • This publication's content originally published in print form: 2013

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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

Front Cover.
Half Title Page.
Other Frontmatter.
Title Page.
Copyright Page.
1: On Jacobi Forms with Levels.
2: Additive Representation in Thin Sequences, VIII: Diophantine Inequalities in Review.
3: Annexe to the Gallery: An Addendum to “Additive Representation in Thin Sequences, VIII: Diophantine Inequalities in Review”.
4: A Note on the Distribution of Primes in Arithmetic Progressions.
5: Matrices of Finite Abelian Groups, Finite Fourier Transform and Codes.
6: A Remark on a Result of Eichler.
7: On Weyl Sums Over Primes in Short Intervals.
8: On Congruences for Certain Binomial Coefficients of E. Lehmer's Type.
9: Sign Changes of the Coefficients of Automorphic L-Functions.
10: On Fourier Coefficients of Automorphic Forms.
11: The Twists of Hessian Elliptic Curves Over Splitting Fields of Cubic Polynomials and the Related Elliptic 3-Folds.
12: Asymptotic Voronoi's Summation Formulas and Their Duality for Sl3(ℤ).
13: Jerzy Urbanowicz's Work in Pure Mathematics.
14: Conjectures Involving Arithmetical Sequences.