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December 2021 Rigidity of Euler products
Shin-ya Koyama, Nobushige Kurokawa
Proc. Japan Acad. Ser. A Math. Sci. 97(10): 83-86 (December 2021). DOI: 10.3792/pjaa.97.016

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 $\mathbf{C}$.

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Shin-ya Koyama. Nobushige Kurokawa. "Rigidity of Euler products." Proc. Japan Acad. Ser. A Math. Sci. 97 (10) 83 - 86, December 2021. https://doi.org/10.3792/pjaa.97.016

Information

Published: December 2021
First available in Project Euclid: 21 December 2021

Digital Object Identifier: 10.3792/pjaa.97.016

Subjects:
Primary: 11M06 , 11M41

Keywords: Euler products , rigidity , zeta functions

Rights: Copyright © 2021 The Japan Academy

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Vol.97 • No. 10 • December 2021
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