Some generating functions of the Riemann zeta function
Banach Center Publications 118 (2019)
MSC: Primary 11M41; Secondary 11F11.
DOI: 10.4064/bc118-6
Abstract
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.
