Pregled bibliografske jedinice broj: 628943
On the analytic continuation and non-vanishing of L-functions
On the analytic continuation and non-vanishing of L-functions // International journal of number theory, 8 (2012), 8; 1831-1854 doi:10.1142/S1793042112501059 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 628943 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On the analytic continuation and non-vanishing of L-functions
Autori
Muić, Goran
Izvornik
International journal of number theory (1793-0421) 8
(2012), 8;
1831-1854
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Fuchsian groups; cuspidal modular forms; L-functions
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037-0372794-2804 - Unitarne reprezentacije klasicnih grupa i automorfne forme (Tadić, Marko, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Profili:
Goran Muić
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
