Convolution of Riemann zeta-values : Dedicated to Professor Isao Wakabayashi with great respect

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概要

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• In this note we are going to generalize Prudnikovs method of using a double integral to deduce relations between the Riemann zeta-values, so as to prove intriguing relations between double zeta-values of depth 2. Prior to this, we shall deduce the most well-known relation that expresses the sum ∑_{j=1}<SUP>m-2</SUP> ξ(j+1)ξ(m-j) in terms of ξ_2(1, m).

• 社団法人 日本数学会の論文
• 2005-10-01

著者

• Kanemitsu Shigeru

  Graduate School of Advanced Technology, Kinki University

• Kanemitsu Shigeru

  Graduate School Of Advanced Technology Kinki University

• Kanemitsu Shigeru

  Graduate School Of Advanced Technology University Of Kinki

• 吉元 昌己

  日本学術振興会特別研究院(pd)

• 吉元 昌己

  名古屋大学多元数理科学研究科

• 吉元 昌巳

  九州大学

• Yoshimoto Masami

  Graduate School Of Mathematics Nagoya University

• Yoshimoto Masami

  Graduate School Of Mathematics Kyushu University

• TANIGAWA Yoshio

  Graduate School of Mathematics Nagoya University

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