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math.NT2024
Indices of nilpotency in certain spaces of modular forms
Matthew Boylan, Swati
We study the index of nilpotency relative to certain Hecke operators in spaces of modular forms with integer weight and level with integer coefficients modulo primes for $(…
math.NT2024
Congruence properties modulo prime powers for a class of partition functions
Matthew Boylan, Swati
Let be prime, and let denote the function whose generating function is . This function and its generalizations $p_{[c^{\ell}…