Naslov
Congruences for sporadic sequences and modular forms for non-congruence subgroups

Autori
Kazalicki, Matija

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
The fifth mini symposium of the Roman Number Theory Association Universita Roma Tre - Abstracts / - , 2019, 1-1

Skup
The fifth mini symposium of the Roman Number Theory Association Universita Roma Tre

Mjesto i datum
Rim, Italija, 10.04.2019. - 12.04.2019

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Podatak o recenziji nije dostupan

Ključne riječi
modular forms for non-congruence subgroups

Sažetak
In the the proof of the irrationality of zeta(2) Apery introduced numbers bn=∑nk=0(nk)2(n+kk) that are integral solutions of certain recursive relation. Zagier found six more sequences with similar property (sporadic sequences). Stienstra and Beukers showed that there is mod p congruence between b_{; ; (p-1)/2}; ; and p-th Fourier coefficeint of certain modular form. Osburn and Straub proved similar congruences for all but one of six Zagier's sporadic sequences and conjectured congruence for sixth sequence. We prove that remaining congruence by studying Atkin and Swinnerton-Dyer congruences between Fourier coefficients of certain cusp form for non-congurence subgroup.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA