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math.NT2023
Effective estimates for traces of singular moduli
Oscar E. González, Qihang Sun
Traces of singular moduli can be approximated by exponential sums of quadratic irrationals. Recently Andersen and Duke used theory of Maass forms to estimate generalized twisted tr…
math.NT2022
Irreducibility of the zero polynomials of Eisenstein series
Oscar E. González
Let be the normalized Eisenstein series of weight on . Let be the polynomial that encodes the -invariants of non-elliptic zeros of $…
math.NT2020
Effective estimates for the smallest parts function
Oscar E. González
We give a substantial improvement for the error term in the asymptotic formula for the smallest parts function of Andrews. Our methods depend on an explicit bound…