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Pregled bibliografske jedinice broj: 476924

2-adic properties of modular functions associated to Fermat curves


Kazalicki, Matija
2-adic properties of modular functions associated to Fermat curves // Proceedings of the American Mathematical Society, 139 (2011), 12; 4265-4271 doi:10.1090/S0002-9939-2011-10854-2 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 476924 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
2-adic properties of modular functions associated to Fermat curves

Autori
Kazalicki, Matija

Izvornik
Proceedings of the American Mathematical Society (0002-9939) 139 (2011), 12; 4265-4271

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

Ključne riječi
modular forms ; noncongruence subgroups ; Fermat curves

Sažetak
For an odd integer N, we study the action of Atkin's U(2)-operator on the modular function x(tau) associated to the Fermat curve: X^N +Y^N = 1. The function x(tau) is modular for the Fermat group Phi(N), generically a noncongruence subgroup. If x(tau) = q^(-1) + sum a(iN-1)q^(iN-1), we essentially prove that lim n->0 a(n) = 0 in the 2-adic topology.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
MZOS-037-0372781-2821 - Diofantske jednadžbe i eliptičke krivulje (Dujella, Andrej, MZOS ) ( CroRIS)

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

Profili:

Avatar Url Matija Kazalicki (autor)

Poveznice na cjeloviti tekst rada:

doi www.ams.org www.ams.org

Citiraj ovu publikaciju:

Kazalicki, Matija
2-adic properties of modular functions associated to Fermat curves // Proceedings of the American Mathematical Society, 139 (2011), 12; 4265-4271 doi:10.1090/S0002-9939-2011-10854-2 (međunarodna recenzija, članak, znanstveni)
Kazalicki, M. (2011) 2-adic properties of modular functions associated to Fermat curves. Proceedings of the American Mathematical Society, 139 (12), 4265-4271 doi:10.1090/S0002-9939-2011-10854-2.
@article{article, author = {Kazalicki, Matija}, year = {2011}, pages = {4265-4271}, DOI = {10.1090/S0002-9939-2011-10854-2}, keywords = {modular forms, noncongruence subgroups, Fermat curves}, journal = {Proceedings of the American Mathematical Society}, doi = {10.1090/S0002-9939-2011-10854-2}, volume = {139}, number = {12}, issn = {0002-9939}, title = {2-adic properties of modular functions associated to Fermat curves}, keyword = {modular forms, noncongruence subgroups, Fermat curves} }
@article{article, author = {Kazalicki, Matija}, year = {2011}, pages = {4265-4271}, DOI = {10.1090/S0002-9939-2011-10854-2}, keywords = {modular forms, noncongruence subgroups, Fermat curves}, journal = {Proceedings of the American Mathematical Society}, doi = {10.1090/S0002-9939-2011-10854-2}, volume = {139}, number = {12}, issn = {0002-9939}, title = {2-adic properties of modular functions associated to Fermat curves}, keyword = {modular forms, noncongruence subgroups, Fermat curves} }

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
  • Zentrallblatt für Mathematik/Mathematical Abstracts


Citati:





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