Number theory : tradition and modernization

著者

• Zhang, Wenpeng
• Tanigawa, Yoshio

書誌事項

Number theory : tradition and modernization

edited by Wenpeng Zhang, Yoshio Tanigawa

（Developments in mathematics, v. 15）

Springer, c2006

• : pbk

注記

"Collection of papers contributed by participants of the third China-Japan Seminar on Number Theory held in Xi'an, PRC, February 12-16, 2004"--Pref

Includes bibliographical references and index

内容説明・目次

内容説明

This book collects survey and research papers on various topics in number theory. Although the topics and descriptive details appear varied, they are unified by two underlying principles: first, readability, and second, a smooth transition from traditional approaches to modern ones. Thus, on one hand, the traditional approach is presented in great detail, and on the other, the modernization of the methods in number theory is elaborated.

目次

Preface About the book and the conference List of participants Positive finiteness of number systems (S. Akiyama) On a distribution property of the resudual order of a (mod p) -IV (K. Chinen and L. Murata) Diagonalizing 'bad" Hecke operators on spaces of cusp forms (Y.-J. Choie and W. Kohnen) On the Hilbert-Kamke and the Vinogradov problems in additive number theory (V. N. Chubarikov) The Goldbach-Vinogradov theorem in arithmetic progressions (Z. Cui) Densities of sets of primes related to decimal expansion of rational numbers (T. Hadano, Y. Kitaoka, T. Kubota and M. Nozaki) Spherical functions on p-adic homogeneous spaces (Y. Hironaka) On modular forms of weight (6n + 1)=5 satisfying a certain differential equation (M. Kaneko) Some aspects of the modular relation (S. Kanemitsu, Y. Tanigawa, H. Tsukada and M. Yoshimoto) Zeros of automorphic L-functions and noncyclic base change (J. Liu and Y. Ye) Analytic properties of multiple zeta-functions in several variables (K. Matsumoto) Cubic fields and Mordell curves (K. Miyake) Towards the reciprocity of quartic theta-Weyl sums, and beyond (Y.-N. Nakai) Explicit congruences for Euler polynomials (Z.-W. Sun) Square-free integers as sums of two squares (W. Zhai) Some applications of L-functions to the mean value of the Dedekind sums and Cochrane sums (W. Zhang) Index

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詳細情報

• NII書誌ID(NCID): BA76757893
• ISBN:
  • 0387304142
  • 9781441940254
• LCCN: 2005937555
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York
• ページ数/冊数: x, 241 p.
• 大きさ: 24-25 cm
• 分類:
  • LCC : QA241
  • DC22 : 512.7
• 件名:
  • LCSH : Number theory -- Congresses
• 親書誌ID:
  • BA38871307