Fast Converging Series for Riemann Zeta Function

• 作者: Hannu Olkkonen Juuso T. Olkkonen
• 来源期刊: 离散数学期刊(英文)
• 学科: 数学
• 关键词: RIEMANN ZETA Function Converging SERIES NUMBER Theory CRYPTOGRAPHY Signal Processing
• 年，卷（期）: 2012,（4）
• 页码范围: 131-133
• 页数: 3页
• 分类号: O1

摘要

Riemann zeta function has a key role in number theory and in its applications. In this paper we present a new fast converging series for . Applications of the series include the computation of the and recursive computation of , and generally . We discuss on the production of irrational number sequences e.g. for encryption coding and zeta function maps for analysis and synthesis of log-time sampled signals.