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math.NT2021
Asymptotic equidistribution for partition statistics and topological invariants
Giulia Cesana, William Craig, Joshua Males
We provide a general framework for proving asymptotic equidistribution, convexity, and log concavity of coefficients of generating functions on arithmetic progressions. Our central…
math.NT2021
On Ramanujan-type Congruences for Multiplicative Functions
William Craig, Mircea Merca
The study of Ramanujan-type congruences for functions specific to additive number theory has a long and rich history. Motivated by recent connections between divisor sums and overp…