Advertisement

Number Theoretic Methods

Future Trends

  • Shigeru Kanemitsu
  • Chaohua Jia

Part of the Developments in Mathematics book series (DEVM, volume 8)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Krishnaswami Alladi, Alexander Berkovich
    Pages 1-14
  3. Henri Darmon, Claude Levesque
    Pages 73-95
  4. P. D. T. A. Elliott
    Pages 119-150
  5. Chaohua Jia
    Pages 151-157
  6. Shigeru Kanemitsu, Yoshio Tanigawa, Masami Yoshimoto
    Pages 159-212
  7. Shuguang Li, Carl Pomerance
    Pages 219-231
  8. Kohji Matsumoto, Lin Weng
    Pages 233-262
  9. Makoto Nagata
    Pages 301-310
  10. Yoshinobu Nakai
    Pages 311-338
  11. Junjiro Noguchi
    Pages 339-350
  12. Mariya Shcherbina, Brunello Tirozzi
    Pages 369-380
  13. K. Srinivasa Rao, H. D. Doebner, P. Nattermann
    Pages 381-403
  14. Back Matter
    Pages 435-441

About this book

Introduction

This volume contains the proceedings of the very successful second China-Japan Seminar held in lizuka, Fukuoka, Japan, during March 12-16, 2001 under the support of the Japan Society for the Promotion of Science (JSPS) and the National Science Foundation of China (NSFC), and some invited papers of eminent number-theorists who visited Japan during 1999-2001 at the occasion of the Conference at the Research Institute of Mathematical Sciences (RIMS), Kyoto University. The proceedings of the 1st China-Japan Seminar held in September 1999 in Beijing has been published recently {2002) by Kluwer as DEVM 6 which also contains some invited papers. The topics of that volume are, however, restricted to analytic number theory and many papers in this field are assembled. In this volume, we return to the lines of the previous one "Number Theory and its Applications", published as DEVM 2 by Kluwer in 1999 and uphold the spirit of presenting various topics in number theory and related areas with possible applica­ tions, in a unified manner, and this time in nearly a book form with a well-prepared index. We accomplish this task by collecting highly informative and readable survey papers (including half-survey type papers), giving overlooking surveys of the hith­ erto obtained results in up-to-the-hour form with insight into the new developments, which are then analytically continued to a collection of high standard research papers which are concerned with rather diversed areas and will give good insight into new researches in the new century.

Keywords

Algebra Arithmetic Finite Identity Prime equation function mathematics number theory theorem

Editors and affiliations

  • Shigeru Kanemitsu
    • 1
  • Chaohua Jia
    • 2
  1. 1.Graduate School of Advanced TechnologyUniversity of KinkiIizukaJapan
  2. 2.Institute of MathematicsAcademia SinicaBeijingChina

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-3675-5
  • Copyright Information Springer-Verlag US 2002
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-5239-4
  • Online ISBN 978-1-4757-3675-5
  • Series Print ISSN 1389-2177
  • Buy this book on publisher's site