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ON THE DERIVATIVES OF ZETA-FUNCTIONS OF CERTAIN CUSP FORMS

Published online by Cambridge University Press:  31 January 2005

A. LAURINČIKAS
A. LAURINČIKAS
Affiliation:
Department of Mathematics and Informatics, Vilnius University, Naugarduko 24, 2006, Vilnius, Lithuania, Department of Physics and Mathematics, šiauliai University, Višinskio 19, 5400, šiauliai, Lithuania e-mail: antanas.laurincikas@maf.vu.lt
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Abstract

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The universality of the derivative and logaritmic derivative of zeta-functions of normalized eigenforms is obtained. This is applied to estimate the number of zeros of the derivative in the critical strip.

Keywords

11M41
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 47 , Issue 1 , January 2005 , pp. 87 - 96
Copyright
2005 Glasgow Mathematical Journal Trust