Some generating functions of the Riemann zeta function

Takumi Noda Banach Center Publications 118 (2019) MSC: Primary 11M41; Secondary 11F11. DOI: 10.4064/bc118-6

Streszczenie

In this survey paper, functional relations between some generating functions of the Riemann zeta function are formulated. These generating functions themselves are zeta-functions (Bessel type, confluent-hypergeometric type and hypergeometric type), introduced by M. Katsurada and the author. The explicit formula of the special values of these zeta functions at non-positive integers are also given.

Autorzy

  • Takumi NodaCollege of Engineering
    Nihon University
    1 Nakagawara
    Tokusada, Tamuramachi, Koriyama
    Fukushima 963–8642, Japan
    e-mail

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