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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…
On the moments of one-level densities in families of holomorphic cusp forms in the level aspect
Peter Cohen, Justine Dell, Oscar E. González +10
We study the centered moments of the -level density for the low-lying zeros of -functions attached to holomorphic cuspidal newforms of large prime level and fixe…
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 $…
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…
On smoothing singularities of elliptic orbital integrals on GL(n) and Beyond Endoscopy
Oscar E. González, Chung Hang Kwan, Steven J. Miller +2
Recent work of Altuğ continues the preliminary analysis of Langlands' Beyond Endoscopy proposal for by removing the contribution of the trivial representation to the trace…