Bohr-Jessen Limit theorem, revisited

書誌事項

Bohr-Jessen Limit theorem, revisited

Satoshi Takanobu

(MSJ memoirs, v. 31)

Mathematical Society of Japan, 2013

大学図書館所蔵 件 / 23

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注記

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

内容説明・目次

内容説明

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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詳細情報

  • NII書誌ID(NCID)
    BB13024986
  • ISBN
    • 9784864970198
  • 出版国コード
    ja
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Tokyo
  • ページ数/冊数
    xii, 216 p.
  • 大きさ
    25 cm
  • 親書誌ID
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