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- W2613753290 abstract "The Laurent Stieltjes constants $gamma_n(chi)$ are, up to a trivial coefficient, the coefficients of the Laurent expansion of the usual Dirichlet $L$-series: when $chi$ is non principal, $(-1)^ngamma_n(chi)$ is simply the value of the $n$-th derivative of $L(s,chi)$ at $s=1$. In this paper, we give an approximation of the Dirichlet L-functions in the neighborhood of $s=1$ by a short Taylor polynomial. We also prove that the Riemann zeta function $zeta(s)$ has no zeros in the region $|s-1|leq 2.2093,$ with $0leq Re{(s)}leq 1.$" @default.
- W2613753290 created "2017-05-19" @default.
- W2613753290 creator A5067610736 @default.
- W2613753290 date "2017-05-10" @default.
- W2613753290 modified "2023-09-27" @default.
- W2613753290 title "Applications of the Laurent-Stieltjes constants for Dirichlet $L$-series" @default.
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