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On zeros of motivic L-functions

Published online by Cambridge University Press:  02 May 2003

ANDRZEJ DA¸BROWSKI
Affiliation:
University of Szczecin, Institute of Mathematics, ul. Wielkopolska 15, 70-451 Szczecin, Poland. e-mail: dabrowsk@sus.univ.szczecin.pl
JACEK POMYKAŁA
Affiliation:
University of Warsaw, Institute of Mathematics, ul. Banacha 2, 02-097 Warsaw, Poland. e-mail: pomykala@mimuw.edu.pl

Abstract

Let $M$ be a pure motive over $\Bbb Q$ of weight $w=w(M)$ and of the global conductor $c(M)$. Also given Dirichlet character $\chi$ one can define the twisted motive $M_\chi$; let $L(M_\chi,s)\, (s=\sigma+i t)$ denote the corresponding $L$-function.

Type
Research Article
Copyright
2003 Cambridge Philosophical Society

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