Publications de l’Institut Mathématique, Nouvelle Série, Vol. 100[114], No. 1/1, pp. 131

Publications de l’Institut Mathématique, Nouvelle Série
Vol. 100[114], No. 1/1, pp. 131–140 (2016)

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UNIFORM DISTRIBUTION MODULO 1 AND THE UNIVERSALITY OF ZETA-FUNCTIONS OF CERTAIN CUSP FORMS

Antanas Laurinčikas

Department of Mathematics and Informatics, Vilnius University, Vilnius, Lithuania; Institute of Informatics, Mathematics and E. Studies, Šiauliai University, Šiauliai, Lithuania

Abstract: An universality theorem on the approximation of analytic functions by shifts $ζ (s + i τ, F)$ of zeta-functions of normalized Hecke-eigen forms $F$ , where $τ$ takes values from the set ${k^{α} h : k = 0, 1, 2, \dots}$ with fixed $0 < α < 1$ and $h > 0$ , is obtained.

Keywords: joint universality; linear independence; zeta-function of normalized Hecke-eigen form; weak convergence

Classification (MSC2000): 11M41

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Electronic fulltext finalized on: 8 Nov 2016. This page was last modified: 14 Nov 2016.

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