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On a generalization of Gross’s formula

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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.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Rutgers University, Newark, NJ, 07102-1811, USA

    Zhengyu Mao

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  1. Zhengyu Mao
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Correspondence to Zhengyu Mao.

Additional information

Partially supported by NSF DMS-1000636 and US-Israel BSF Grant 2008057.

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Mao, Z. On a generalization of Gross’s formula. Math. Z. 271, 593–609 (2012). https://doi.org/10.1007/s00209-011-0879-6

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  • DOI: https://doi.org/10.1007/s00209-011-0879-6

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