We prove two congruences for the coefficients of power series expansions in t of modular forms where t is a modular function. As a result, we settle two recent conjectures of Chan, Cooper and Sica. Additionally, we provide tables of congruences for numbers which appear in similar power series expansions and in the study of integral solutions of Apery-like differential equations.Science Foundation Irelan
Congruences and related identities are derived for a set of colored and weighted partition functions...
AbstractIn this paper, we study congruence properties of modular forms in various ways. By proving a...
Congruences and related identities are derived for a set of colored and weighted partition functions...
We prove two congruences for the coefficients of power series expansions in t of modular forms where...
Recently, Chan, Cooper and Sica conjectured two congruences for coefficients of classical 2F1 hyperg...
AbstractThe partition function P(n) satisfy some congruence properties. Eichhorn and Ono prove the e...
AbstractUsing the theory of modular forms, we show that the three-colored Frobenius partition functi...
We study congruences in the coefficients of modular and other automorphic forms. Ramanujan famously...
AbstractWe address a question posed by Ono [Ken Ono, The Web of Modularity: Arithmetic of the Coeffi...
We study congruences in the coefficients of modular and other automorphic forms. Ramanujan famously...
AbstractWe prove a conjecture of Calegari and Stein regarding mod p congruences between modular form...
This master s thesis is intended to give a presentation of the theory of congruences between the Fou...
In recent work of Bringmann, Guerzhoy, and the first author, $p$-adic modular forms were constructed...
We prove that if a prime ℓ>3 divides pk−1, where p is prime, then there is a congruence modulo ℓ, li...
AbstractFor an infinite family of modular forms constructed from Klein forms we provide certain expl...
Congruences and related identities are derived for a set of colored and weighted partition functions...
AbstractIn this paper, we study congruence properties of modular forms in various ways. By proving a...
Congruences and related identities are derived for a set of colored and weighted partition functions...
We prove two congruences for the coefficients of power series expansions in t of modular forms where...
Recently, Chan, Cooper and Sica conjectured two congruences for coefficients of classical 2F1 hyperg...
AbstractThe partition function P(n) satisfy some congruence properties. Eichhorn and Ono prove the e...
AbstractUsing the theory of modular forms, we show that the three-colored Frobenius partition functi...
We study congruences in the coefficients of modular and other automorphic forms. Ramanujan famously...
AbstractWe address a question posed by Ono [Ken Ono, The Web of Modularity: Arithmetic of the Coeffi...
We study congruences in the coefficients of modular and other automorphic forms. Ramanujan famously...
AbstractWe prove a conjecture of Calegari and Stein regarding mod p congruences between modular form...
This master s thesis is intended to give a presentation of the theory of congruences between the Fou...
In recent work of Bringmann, Guerzhoy, and the first author, $p$-adic modular forms were constructed...
We prove that if a prime ℓ>3 divides pk−1, where p is prime, then there is a congruence modulo ℓ, li...
AbstractFor an infinite family of modular forms constructed from Klein forms we provide certain expl...
Congruences and related identities are derived for a set of colored and weighted partition functions...
AbstractIn this paper, we study congruence properties of modular forms in various ways. By proving a...
Congruences and related identities are derived for a set of colored and weighted partition functions...
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