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ON THE DERIVATIVES OF ZETA-FUNCTIONS OF CERTAIN CUSP FORMS, II

Published online by Cambridge University Press:  29 November 2005

A. LAURINČIKAS
A. LAURINČIKAS
Affiliation:
Department of Mathematics and Informatics, Vilnius University, Naugarduko 24, 3225 Vilnius, Lithuania Department of Physics and Mathematics, šiauliai University, Višinskio 19, 5440 šiauliai, Lithuania e-mail: antanas.laurincikas@maf.vu.lt
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Abstract

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The discrete universality of the derivative and logarithmic derivative of zeta-functions of normalized eigenforms is obtained. This is used to estimate the number of zeros of the derivatives in the critical strip. For the proof the method of functional limit theorems in the sense of weak convergence of probability measures is applied.

Keywords

11M41
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 47 , Issue 3 , September 2005 , pp. 505 - 516
Copyright
2005 Glasgow Mathematical Journal Trust