The Riemann zeta-function : the theory of the Riemann zeta-function with applications

著者

• Ivić, A.

書誌事項

The Riemann zeta-function : the theory of the Riemann zeta-function with applications

Aleksandar Ivić

Wiley, c1985

注記

"A Wiley-Interscience publication."

Bibliography : p. 497-509

Includes indexes

内容説明・目次

内容説明

This book provides both classical and new results in Reimann Zeta-Function theory, one of the most important problems in analytic number theory. These results have application in solving problems in multiplicative number theory, such as power moments, the zero-free region, and the zero density estimates. The book also furnishes annotated proofs, end-of-chapter notes, historical discussions and references.

目次

• Elementary Theory
• Exponential Integrals and Exponential Sums
• The Voronoi Summation Formula
• The Approximate Functional Equations
• The Fourth Power Moment
• The Zero-Free Region
• Mean Value Estimates Over Short Intervals
• Higher Power Moments
• Omega Results
• Zeros on the Critical Line
• Zero-Density Estimates
• The Distribution of Primes
• The Dirichlet Divisor Problem
• Various Other Divisor Problems
• Atkinson's Formula for the Mean Square
• Appendix
• Author Index. Subject Index.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA0353723X
• ISBN:
  • 047180634X
• LCCN: 84026940
• 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: xvi, 517 p.
• 大きさ: 25 cm
• 分類:
  • LCC : QA246
  • DC19 : 515/.56
• 件名:
  • LCSH : Functions, Zeta