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