Let F be a number field with ring of adeles A, and let K/F be a quadratic extension. We prove part of a relative trace formula between  and  corresponding to the descent between  and  As consequences, we expect a generalization of work of Kohnen and a verification of a conjecture of Furusawa and Martin characterizing -distinction of cuspidal representations of

relative trace formula, descent, symplectic group, metaplectic group.

Received: February 26, 2021; Accepted: March 25, 2021; Published: April 28, 2021

How to cite this article: Cesar Valverde, A relative trace formula between the general linear and the metaplectic group II: descent, JP Journal of Algebra, Number Theory and Applications 50(2) (2021), 113-136. DOI: 10.17654/NT050010113

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