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math.NT2010
Non-vanishing of Taylor coefficients and Poincaré series
Cormac O'Sullivan, Morten S. Risager
We prove recursive formulas for the Taylor coefficients of cusp forms, such as Ramanujan's Delta function, at points in the upper half-plane. This allows us to show the non-vanishi…
math.NT2010★ 7 cited
Dissolving cusp forms: Higher order Fermi's Golden Rules
Yiannis N. Petridis, Morten S. Risager
For a hyperbolic surface embedded eigenvalues of the Laplace operator are unstable and tend to become resonances. A sufficient dissolving condition was identified by Phillips-Sarna…