Bessel periods and the non-vanishing of Yoshida lifts modulo a prime

Abstract

We give an explicit construction of vector-valued Yoshida lifts and derive a formula of the Bessel periods of Yoshida lifts, by which we prove the non-vanishing modulo a prime of Yoshida lifts attached to a pair of elliptic modular newforms. As a consequence, we obtain a new proof of the non-vanishing of Yoshida lifts.

References in corpus (2)

• The second moment of twisted modular L-functions
• Kloosterman sums in residue classes

Cited by in corpus (4)

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• On the fourth moment of Hecke Maass forms and the Random Wave Conjecture
• On the Random Wave Conjecture for Dihedral Maaß Forms
• Optimal Small Scale Equidistribution of Lattice Points on the Sphere, Heegner Points, and Closed Geodesics