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Series on Number Theory and Its Applications - Vol. 2

NUMBER THEORY
Sailing on the Sea of Number Theory
Proceedings of the 4th China-Japan Seminar

Weihai, China 30 August - 3 September 2006

edited by S Kanemitsu (Kinki University, Japan) & J-Y Liu (Shandong University, China)

Table of Contents (72k)
Preface (191k)
Chapter 1: Convolutions of the Von Mangoldt Function and Related Dirichlet Series (242k)

This volume is not an ordinary proceedings volume assembling papers submitted but a collection of prestigious survey papers on various subjects studied enthusiastically by experts all over the world. The reader will uncover profound, new research problems as well as numerous signposts for future direction.


Contents:

  • Convolutions of the von Mangoldt Function and Related Dirichlet Series (S Egami & K Matsumoto)
  • Constructing New Non-Congruent Numbers by Graph Theory (K Feng & Y Xue)
  • Distribution of Units of an Algebraic Number Field Modulo an Ideal (Y Kitaoka)
  • Sign Changes of Fourier Coefficients and Eigenvalues of Cusp Forms (W Kohnen)
  • Shifted Convolution Sums of Fourier Coefficients of Cusp Forms (Y-K Lau et al.)
  • Two Expositions on Arithmetic of Cubics (K Miyake)
  • Distribution of Points on Modular Hyperbolas (I E Shparlinski)
  • A Survey of Problems and Results on Restricted Sumsets (Z-W Sun)
  • A General Modular Relation in Analytic Number Theory (H Tsukada)
  • L-Functions of Function Fields (D Wan)


Readership: Graduate students and researchers in mathematics.

268pp Pub. date: Jul 2007
ISBN 978-981-270-810-6
981-270-810-3
US$85 / £45


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Updated on 8 August 2008