Rigidity of Euler products. (English) Zbl 1489.11119

Koyama, Shin-ya; Kurokawa, Nobushige

Proc. Japan Acad., Ser. A 97, No. 10, 83-86 (2021).

Authors’ abstract: We report simple rigidity theorems for Euler products under deformations of Euler factors. Certain products of the Riemann zeta function are rigid in the sense that there exist no deformations which preserve the meromorphy on \(\mathbb{C}\).

Reviewer: Giovanni Coppola (Napoli)

MSC:

11M06	\(\zeta (s)\) and \(L(s, \chi)\)
11M41	Other Dirichlet series and zeta functions

Keywords:

Euler products; rigidity; zeta functions

References:

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