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math.NT2021
Infinite families of crank functions, Stanton-type conjectures, and unimodality
Kathrin Bringmann, Kevin Gomez, Larry Rolen +1
Dyson's rank function and the Andrews--Garvan crank function famously give combinatorial witnesses for Ramanujan's partition function congruences modulo 5, 7, and 11. While these f…
math.NT2021
Supersingular Loci from Traces of Hecke Operators
Kevin Gomez, Kaya Lakein, Anne Larsen
A classical observation of Deligne shows that, for any prime , the divisor polynomial of the Eisenstein series mod is closely related to the supersingula…