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math.NT2024
On the Classification of Modular Congruence Families
Nicolas Allen Smoot
Congruence families, i.e., -adic convergence for well-defined arithmetic subsequences, is a commonplace phenomenon for the coefficients of modular forms. Such families superf…
math.NT2024★ 4 cited
Old Meets New: Connecting Two Infinite Families of Congruences Modulo Powers of 5 for Generalized Frobenius Partition Functions
Frank G. Garvan, James A. Sellers, Nicolas Allen Smoot
In 2012 Paule and Radu proved a difficult family of congruences modulo powers of 5 for Andrews' 2-colored generalized Frobenius partition function. The family is associated with th…