3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.NT2013★ 1 cited
Modular forms, hypergeometric functions and congruences
Matija Kazalicki
Using the theory of Stienstra and Beukers, we prove various elementary congruences for the numbers \sum \binom{2i_1}{i_1}^2\binom{2i_2}{i_2}^2...\binom{2i_k}{i_k}^2, where k,n \in…
math.NT2013★ 3 cited
Modular forms, de Rham cohomology and congruences
Matija Kazalicki, Anthony J. Scholl
In this paper we show that Atkin and Swinnerton-Dyer type of congruences hold for weakly modular forms (modular forms that are permitted to have poles at cusps). Unlike the case of…
math.NT2012
Modular parametrizations of certain elliptic curves
Matija Kazalicki, Yuichi Sakai, Koji Tasaka
Kaneko and Sakai recently observed that certain elliptic curves whose associated newforms (by the modularity theorem) are given by the eta-quotients can be characterized by a parti…