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math.NT2010★ 15 cited
Kernels for products of L-functions
Nikolaos Diamantis, Cormac O'Sullivan
The Rankin-Cohen bracket of two Eisenstein series provides a kernel yielding products of the periods of Hecke eigenforms at critical values. Extending this idea leads to a new type…
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…