On the value-distribution of Epstein zeta-functions
Steuding, Jorn (Universität Würzburg. Institut für Mathematik)

Date:	2007
Abstract:	We investigate the value-distribution of Epstein zeta-functions ζ(s; Q), where Q is a positive definite quadratic form in n variables. We prove an asymptotic formula for the number of c-values, i. e. , the roots of the equation ζ(s; Q) = c, where c is any fixed complex number. Moreover, we show that, in general, these c-values are asymmetrically distributed with respect to the critical line Re s = n 4 . This complements previous results on the zero-distribution [30].
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Epstein zeta-functions ; Quadratic forms ; Value-distribution ; Nevanlinna theory
Published in:	Publicacions matemàtiques, Vol. Extra (2007) , p. 221-244, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/69991
DOI: 10.5565/PUBLMAT_PJTN05_12

24 p, 230.7 KB

The record appears in these collections:
Articles > Published articles > Publicacions matemàtiques
Articles > Research articles