Accelerated Series for Riemann Zeta Function at Odd Integer Arguments

• 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 Compressive Sensing
• 年，卷（期）: 2013,（1）
• 页码范围: 18-20
• 页数: 3页
• 分类号: O1

摘要

Riemann zeta function is an important tool in signal analysis and number theory. Applications of the zeta function include e.g. the generation of irrational and prime numbers. In this work we present a new accelerated series for Riemann zeta function. As an application we describe the recursive algorithm for computation of the zeta function at odd integer arguments.