Joint Universality of the Zeta-Functions of Cusp Forms

Renata Macaitienė
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Renata Macaitienė: Regional Development Institute of Šiauliai Academy, Vilnius University, P. Višinskio Str. 25, LT-76351 Šiauliai, Lithuania

Mathematics, 2021, vol. 9, issue 17, 1-13

Abstract: Let F be the normalized Hecke-eigen cusp form for the full modular group and ? ( s , F ) be the corresponding zeta-function. In the paper, the joint universality theorem on the approximation of a collection of analytic functions by shifts ( ? ( s + i h 1 ? , F ) , … , ? ( s + i h r ? , F ) ) is proved. Here, h 1 , … , h r are algebraic numbers linearly independent over the field of rational numbers.

Keywords: Hecke-eigen cusp form; joint universality; universality; zeta-function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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