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March 2020 On the balanced Voronoï formula for GL$_N$
Tian An Wong
Funct. Approx. Comment. Math. 62(1): 121-130 (March 2020). DOI: 10.7169/facm/1810

Abstract

Miller and F. Zhou have proved a balanced Voronoï summation formula for GL$_N$ over $\mathbb{Q}$, which allows one to control the dimensions of the Kloosterman sums appearing on either side of the Voronoï formula. In this note, we prove a balanced Voronoï formula over an arbitrary number field, starting with the Voronoï summation formula of A. Ichino and N. Templier over number fields, allowing one to extend recent results on spectral reciprocity laws to number fields, in special cases.

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Tian An Wong. "On the balanced Voronoï formula for GL$_N$." Funct. Approx. Comment. Math. 62 (1) 121 - 130, March 2020. https://doi.org/10.7169/facm/1810

Information

Published: March 2020
First available in Project Euclid: 26 October 2019

MathSciNet: MR4074392
Digital Object Identifier: 10.7169/facm/1810

Subjects:
Primary: 11F30, 11F70
Secondary: 11F68

Rights: Copyright © 2020 Adam Mickiewicz University

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Vol.62 • No. 1 • March 2020
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