Topics in multiplicative number theory

著者

• Montgomery, Hugh L.

書誌事項

Topics in multiplicative number theory

Hugh L. Montgomery

（Lecture notes in mathematics, 227）

Springer-Verlag, 1971

• : Germany
• : U.S.

注記

Bibliography: p. [162]-178

内容説明・目次

目次

Three basic principles.- The large sieve.- Arithmetic formulations of the large sieve.- A weighted sieve and its application.- A lower bound of Roth.- Classical mean value theorems.- New mean value theorems.- Large moduli theorems.- Further results and conjectures concerning mean and large moduli.- Mean moduli of L-functions.- Zero-free regions and the proliferation of zeros.- Distribution of zeros of L-functions.- Least character non-residues and arg L(12+it, x).- The prime number theorems of Hoheisel and Selberg.- The bombieri - Vinogradov theorem.- A lemma in additive prime number theory.- The mean value theorem of Barban.

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詳細情報

• NII書誌ID(NCID): BA06688479
• ISBN:
  • 9783540056416
  • 0387056416
• LCCN: 70177431
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Berlin ; New York
• ページ数/冊数: viii, 178 p
• 大きさ: 26 cm
• 分類:
  • LCC : QA3
  • LCC : QA241
  • DC : 512/.7
• 件名:
  • LCSH : Numbers, Theory of
• 親書誌ID:
  • BA00146586