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math.NT2020
Relations among Ramanujan-Type Congruences I
Martin Raum
We prove that Ramanujan-type congruences for integral weight modular forms away from the level and the congruence prime are equivalent to specific congruences for Hecke eigenvalues…
math.NT2020★ 1 cited
Scarcity of congruences for the partition function
Scott Ahlgren, Olivia Beckwith, Martin Raum
The arithmetic properties of the ordinary partition function have been the topic of intensive study for the past century. Ramanujan proved that there are linear congruences…
math.NT2020★ 4 cited
Non-Holomorphic Ramanujan-type Congruences for Hurwitz Class Numbers
Olivia Beckwith, Martin Raum, Olav K. Richter
In contrast to all other known Ramanujan-type congruences, we discover that Ramanujan-type congruences for Hurwitz class numbers can be supported on non-holomorphic generating seri…