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Pregled bibliografske jedinice broj: 977513

On the non-vanishing of L-functions associated to cusp forms of half-integral weight


Žunar, Sonja
On the non-vanishing of L-functions associated to cusp forms of half-integral weight // Ramanujan journal, 51 (2020), 3; 455-477 doi:10.1007/s11139-019-00135-2 (međunarodna recenzija, članak, znanstveni)


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Naslov
On the non-vanishing of L-functions associated to cusp forms of half-integral weight

Autori
Žunar, Sonja

Izvornik
Ramanujan journal (1382-4090) 51 (2020), 3; 455-477

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
L-functions, cusp forms of half-integral weight, non-vanishing of Poincaré series, metaplectic cover of SL_2(R)

Sažetak
We prove a strengthening of Muić's integral non- vanishing criterion for Poincaré series on unimodular locally compact Hausdorff groups and use it to prove a result on non-vanishing of L- functions associated to cusp forms of half- integral weight.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-IP-2013-11-9364 - Automorfne forme, reprezentacije i primjene (Automorphic forms) (Muić, Goran, HRZZ - 2013-11) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Sonja Žunar (autor)

Poveznice na cjeloviti tekst rada:

doi link.springer.com doi.org

Citiraj ovu publikaciju:

Žunar, Sonja
On the non-vanishing of L-functions associated to cusp forms of half-integral weight // Ramanujan journal, 51 (2020), 3; 455-477 doi:10.1007/s11139-019-00135-2 (međunarodna recenzija, članak, znanstveni)
Žunar, S. (2020) On the non-vanishing of L-functions associated to cusp forms of half-integral weight. Ramanujan journal, 51 (3), 455-477 doi:10.1007/s11139-019-00135-2.
@article{article, author = {\v{Z}unar, Sonja}, year = {2020}, pages = {455-477}, DOI = {10.1007/s11139-019-00135-2}, keywords = {L-functions, cusp forms of half-integral weight, non-vanishing of Poincar\'{e} series, metaplectic cover of SL\_2(R)}, journal = {Ramanujan journal}, doi = {10.1007/s11139-019-00135-2}, volume = {51}, number = {3}, issn = {1382-4090}, title = {On the non-vanishing of L-functions associated to cusp forms of half-integral weight}, keyword = {L-functions, cusp forms of half-integral weight, non-vanishing of Poincar\'{e} series, metaplectic cover of SL\_2(R)} }
@article{article, author = {\v{Z}unar, Sonja}, year = {2020}, pages = {455-477}, DOI = {10.1007/s11139-019-00135-2}, keywords = {L-functions, cusp forms of half-integral weight, non-vanishing of Poincar\'{e} series, metaplectic cover of SL\_2(R)}, journal = {Ramanujan journal}, doi = {10.1007/s11139-019-00135-2}, volume = {51}, number = {3}, issn = {1382-4090}, title = {On the non-vanishing of L-functions associated to cusp forms of half-integral weight}, keyword = {L-functions, cusp forms of half-integral weight, non-vanishing of Poincar\'{e} series, metaplectic cover of SL\_2(R)} }

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


Citati:





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