Abstract
We show that any $L$-function attached to a non-exceptionnal Hecke Grossencharakter $\Xi$ may be approximated by a truncated Euler product when $s$ lies near the line $\Re s=1$. This leads to some refined bounds on $L(s,\Xi)$.
Citation
Olivier Ramaré. "Comparing $L(s,\chi)$ with its truncated Euler product and generalization." Funct. Approx. Comment. Math. 42 (2) 145 - 151, June 2010. https://doi.org/10.7169/facm/1277811637
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