Bohr-Jessen Limit theorem, revisited
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Bibliographic Information
Bohr-Jessen Limit theorem, revisited
（MSJ memoirs, v. 31）
Mathematical Society of Japan, 2013
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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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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