3 papers
math.NT2022
Self-conjugate 6-cores and quadratic forms
Michael Hanson, Marie Jameson
In this work, we analyze the behavior of the self-conjugate 6-core partition numbers by utilizing the theory of quadratic and modular forms. In particular, we explore w…
math.NT2022
Ramanujan congruences for overpartitions with restricted odd differences
Michael Hanson, Jeremiah Smith
We investigate Ramanujan congruences for the function which counts the overpartitions of n with restricted odd differences. In particular, we show that only one such congruence exi…
math.NT2021
Cusp forms as p-adic limits
Michael Hanson, Marie Jameson
Ahlgren and Samart relate three cusp forms with complex multiplication to certain weakly holomorphic modular forms using -adic bounds related to their Fourier coefficients. In t…