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On the analytic continuation and non-vanishing of L-functions (CROSBI ID 192959)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Muić, Goran On the analytic continuation and non-vanishing of L-functions // International Journal of Number Theory, 8 (2012), 8; 1831-1854. doi: 10.1142/S1793042112501059

Podaci o odgovornosti

Muić, Goran

engleski

On the analytic continuation and non-vanishing of L-functions

The author considers a Fuchsian group of the first kind which has a (regular) cusp at infinity. For such Fuchsian group, Kohnen’s kernel function is used to analytically continue L-function L(s, f) to the region of complex numbers whose real part is greater then m/2, where f is a cuspidal modular form of weight at least 5 attached to the Fuchsian group. Further, non–vanishing of L(s, f) is studied using integral non–vanishing criterion of the author.

Fuchsian groups; cuspidal modular forms; L-functions

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Podaci o izdanju

8 (8)

2012.

1831-1854

objavljeno

1793-0421

10.1142/S1793042112501059

Povezanost rada

Matematika

Poveznice
Indeksiranost