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Analytic Number Theory

  • Book
  • © 2002

Overview

Editors:
  1. Chaohua Jia

    1. Academia Sinica, China

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    You can also search for this editor in PubMed   Google Scholar

  2. Kohji Matsumoto

    1. Nagoya University, Japan

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Developments in Mathematics (DEVM, volume 6)

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Table of contents (23 chapters)

  1. Front Matter

    Pages i-xv
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  2. On Analytic Continuation of Multiple L-Functions and Related Zeta-Functions

    • Shigeki Akiyama, Hideaki Ishikawa
    Pages 1-16

  3. On the Values of Certain q-Hypergeometric Series II

    • Masaaki Amou, Masanori Katsurada, Keijo Väänänen
    Pages 17-25

  4. The Class Number One Problem for Some Non-Normal Sextic CM-Fields

    • Gérard Boutteaux, Stéphane Louboutin
    Pages 27-37

  5. Ternary Problems in Additive Prime Number Theory

    • Jörg Brüdern, Koichi Kawada
    Pages 39-91

  6. A Generalization of E. Lehmer’s Congruence and Its Applications

    • Tianxin Cai
    Pages 93-98

  7. On Chen’s Theorem

    • Yingchun Cai, Minggao Lu
    Pages 99-119

  8. On a Twisted Power Mean of L(1, χ)

    • Shigeki Egami
    Pages 121-125

  9. On the Pair Correlation of the Zeros of the Riemann Zeta Function

    • Akio Fujii
    Pages 127-142

  10. Discrepancy of Some Special Sequences

    • Kazuo Goto, Yukio Ohkubo
    Pages 143-155

  11. Padé Approximation to the Logarithmic Derivative of the Gauss Hypergeometric Function

    • Masayoshi Hata, Marc Huttner
    Pages 157-172

  12. The Evaluation of the Sum over Arithmetic Progressions for the Coefficients of the Rankin-Selberg Series II

    • Yumiko Ichihara
    Pages 173-182

  13. Substitutions, Atomic Surfaces, and Periodic Beta Expansions

    • Shunji Ito, Yuki Sano
    Pages 183-194

  14. The Largest Prime Factor of Integers in the Short Interval

    • Chaohua Jia
    Pages 195-203

  15. A General Divisor Problem in Landau’s Framework

    • S. Kanemitsu, A. Sankaranarayanan
    Pages 205-221

  16. On Inhomogeneous Diophantine Approximation and the Borweins’ Algorithm, II

    • Takao Komatsu
    Pages 223-242

  17. Asymptotic Expansions of Double Gamma-Functions and Related Remarks

    • Kohji Matsumoto
    Pages 243-268

  18. A Note on a Certain Average of L(1/2 +it, χ)

    • Leo Murata
    Pages 269-276

  19. On Covering Equivalence

    • Zhi-Wei Sun
    Pages 277-302

  20. Certain Words, Tilings, Their Non-Periodicity, and Substitutions of High Dimension

    • Jun-ichi Tamura
    Pages 303-348
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Keywords

About this book

From September 13 to 17 in 1999, the First China-Japan Seminar on Number Theory was held in Beijing, China, which was organized by the Institute of Mathematics, Academia Sinica jointly with Department of Mathematics, Peking University. TE:m Japanese Professors and eighteen Chinese Professors attended this seminar. Professor Yuan Wang was the chairman, and Professor Chengbiao Pan was the vice-chairman. This seminar was planned and prepared by Professor Shigeru Kanemitsu and the first-named editor. Talks covered various research fields including analytic number theory, algebraic number theory, modular forms and transcendental number theory. The Great Wall and acrobatics impressed Japanese visitors. From November 29 to December 3 in 1999, an annual conference on analytic number theory was held in Kyoto, Japan, as one of the conferences supported by Research Institute of Mathematical Sciences (RIMS), Kyoto University. The organizer was the second-named editor. About one hundred Japanese scholars and some foreign visitors com­ ing from China, France, Germany and India attended this conference. Talks covered many branches in number theory. The scenery in Kyoto, Arashiyama Mountain and Katsura River impressed foreign visitors. An informal report of this conference was published as the volume 1160 of Surikaiseki Kenkyusho Kokyuroku (June 2000), published by RIMS, Ky­ oto University. The present book is the Proceedings of these two conferences, which records mainly some recent progress in number theory in China and Japan and reflects the academic exchanging between China and Japan.

Editors and Affiliations

  • Academia Sinica, China

    Chaohua Jia

  • Nagoya University, Japan

    Kohji Matsumoto

Bibliographic Information

  • Book Title: Analytic Number Theory

  • Editors: Chaohua Jia, Kohji Matsumoto

  • Series Title: Developments in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4757-3621-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 2002

  • Hardcover ISBN: 978-1-4020-0545-9Published: 31 March 2002

  • Softcover ISBN: 978-1-4419-5214-1Published: 25 November 2010

  • eBook ISBN: 978-1-4757-3621-2Published: 11 November 2013

  • Series ISSN: 1389-2177

  • Series E-ISSN: 2197-795X

  • Edition Number: 1

  • Number of Pages: XV, 408

  • Topics: Number Theory, Mathematics, general

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