Comparing L s with its truncated Euler product and generalization

Comparing L(s, ?) with its truncated Euler product and generalization O. Ramare April 17, 2009 Abstract We show that any L-function attached to a non-exceptionnal Hecke Grossencharakter ? may be approximated by a truncated Euler prod- uct when s lies near the line 0 such that no L-function L(s,?) has a zero ? in the region

• dirichlet characters


• euler prod- uct when


• no real


• let ?


• euler product


• see also


• exceptional characters


• exceptional characters can


• hecke grossencharakter