Open Access
June 2010 Comparing $L(s,\chi)$ with its truncated Euler product and generalization
Olivier Ramaré
Funct. Approx. Comment. Math. 42(2): 145-151 (June 2010). DOI: 10.7169/facm/1277811637
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 $L(s,\Xi)$.

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Copyright © 2010 Adam Mickiewicz University
Olivier Ramaré "Comparing $L(s,\chi)$ with its truncated Euler product and generalization," Functiones et Approximatio Commentarii Mathematici 42(2), 145-151, (June 2010). https://doi.org/10.7169/facm/1277811637
Published: June 2010
Vol.42 • No. 2 • June 2010
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