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VOL. 84 | 2020 Joint approximation by zeta-functions of cusp forms
Antanas Laurinčikas

Editor(s) Hidehiko Mishou, Takashi Nakamura, Masatoshi Suzuki, Yumiko Umegaki

Abstract

In the paper, we consider a collection of zeta-functions associated with normalized Hecke eigen-cusp forms for the full modular group, and prove a theorem on the simultaneous approximation of a collection of analytic functions from a wide class by a collection of discrete shifts of the above zeta-functions. For this, a hypothesis on the linear independence of a certain set is applied.

Information

Published: 1 January 2020
First available in Project Euclid: 27 May 2020

zbMATH: 07283189

Digital Object Identifier: 10.2969/aspm/08410297

Subjects:
Primary: 11M41, 41A28

Rights: Copyright © 2020 Mathematical Society of Japan

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