arXiv subjects

Ryan Keck

Publications and source records attributed to Ryan Keck.

2 recordsLinked to original sources

arXiv2020

Congruences for coefficients of modular functions in levels 3, 5, and 7 with poles at 0

We give congruences modulo powers of $p \in \{3, 5,7\}$ for the Fourier coefficients of certain modular functions in level $p$ with poles only at 0, answering a question posed by Andersen and the first author and continuing work done by the authors and Moss. The congruences involve a modulus that depends on the base $p$ expansion of the modular form's order of vanishing at $\infty$.

math.NT↗

arXiv2017

Congruences for coefficients of level 2 modular functions with poles at 0

We give congruences modulo powers of 2 for the Fourier coefficients of certain level 2 modular functions with poles only at 0, answering a question posed by Andersen and the first author. The congruences involve a modulus that depends on the binary expansion of the modular form's order of vanishing at $\infty$.

math.NT↗