Pregled bibliografske jedinice broj: 625457
Modular forms, hypergeometric functions and congruences
Modular forms, hypergeometric functions and congruences // Ramanujan journal, 34 (2014), 1; 1-9 doi:10.1007/s11139-013-9477-z (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 625457 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Modular forms, hypergeometric functions and congruences
Autori
Kazalicki, Matija
Izvornik
Ramanujan journal (1382-4090) 34
(2014), 1;
1-9
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
modular forms ; hypergeometric functions ; congruences
Sažetak
Using the theory of Stienstra and Beukers (Math. Ann., 271: 269-304, 1985), we prove that the numbers A(3)(n) and A(3)(n - 1) - 16A(3)(n - 2) satisfy three term congruence relations similar to those satisfied by Apery numbers. Moreover, for k >= 3 and p prime, we prove divisibility by p of some simple linear combinations of the numbers Ak(n), for n is an element of N. To obtain this, we study the arithmetic properties of the Fourier coefficients of certain holomorphic and weakly holomorphic modular forms.
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:
Matija Kazalicki
(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
- Zentrallblatt für Mathematik/Mathematical Abstracts
