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On a generalization of Gross’s formula

Research paper by Zhengyu Mao

Indexed on: 13 May '11Published on: 13 May '11Published in: Mathematische Zeitschrift



Abstract

We prove a relation between Whittaker functionals of cusp forms on \({{\widetilde{SL}}_2}\) and the toric periods of forms on the quaternion algebra. As an application we prove a generalization of a formula of Gross.