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Explicit refinements of Böcherer's conjecture for Siegel modular forms of squarefree level
We formulate an explicit refinement of B\"ocherer's conjecture for Siegel modular forms of degree 2 and squarefree level, relating weighted averages of Fourier coefficients with special values of L-functions. To achieve ...
Bounds for Rankin--Selberg integrals and quantum unique ergodicity for powerful levels
(American Mathematical Society, 2014-01-01)
Let f be a classical holomorphic newform of level q and even weight k. We show that the pushforward to the full level modular curve of the mass of f equidistributes as qk -> infinity. This generalizes known results in the ...
Local and global Maass relations
(Springer Verlag, 2017-10-01)
We characterize the irreducible, admissible, spherical representations of GSp(4,F) (where F is a p-adic field) that occur in certain CAP representations in terms of relations satisfied by their spherical vector in a special ...