Bohr-Jessen Limit theorem, revisited

Bibliographic Information

Bohr-Jessen Limit theorem, revisited

Satoshi Takanobu

(MSJ memoirs, v. 31)

Mathematical Society of Japan, 2013

Available at  / 23 libraries

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Note

日本語奥付の著者・発行: 高信敏

日本語奥付の出版年月: 2012年4月19日投稿版, 2013年3月26日改訂版

Includes bibliographical references (p. 209-211) and indexes

Description and Table of Contents

Description

This book is a self-contained exposition on the Bohr-Jessen limit theorem. This limit theorem, which is concerned with the behavior of the Riemann zeta function (s) on the line Re s = , where 1/2 < 1, was found by Bohr-Jessen in the early 1930s. After Bohr-Jessen, alternative proofs were given by Jessen-Wintner, Borchsenius-Jessen, Laurinckas, Matsumoto and others. They dealt with this within the framework of probability theory. Their formulation, originated by Jessen-Wintner, is standard nowadays. The present book proposes a new approach for the formulation to refine their works. By this method, the whole story of the proof of the Bohr-Jessen limit theorem will now become clearer, so that the reader must be able to understand the essence of the proof in depth but without difficulty.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets

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Details

  • NCID
    BB13024986
  • ISBN
    • 9784864970198
  • Country Code
    ja
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Tokyo
  • Pages/Volumes
    xii, 216 p.
  • Size
    25 cm
  • Parent Bibliography ID
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