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arXiv · 1510.00943

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

Ming-Lun Hsieh·Kenichi Namikawa
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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.

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Ming-Lun Hsieh, Kenichi Namikawa. 2016-08-31. Bessel periods and the non-vanishing of Yoshida lifts modulo a prime. https://doi.org/10.1007/s00209-016-1721-y

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