Voronoï summation for GLn: collusion between level and modulus
Corbett, A
Date: 15 October 2021
Journal
American Journal of Mathematics
Publisher
Johns Hopkins University Press
Publisher DOI
Abstract
We investigate the Voronoï summation problem for GLn in the level aspect for n ≥ 2. Of particular interest are those primes at which the level and modulus are jointly ramified, a common occurrence in analytic number theory when using techniques such as the Petersson trace formula. Building on previous legacies, our formula stands as ...
We investigate the Voronoï summation problem for GLn in the level aspect for n ≥ 2. Of particular interest are those primes at which the level and modulus are jointly ramified, a common occurrence in analytic number theory when using techniques such as the Petersson trace formula. Building on previous legacies, our formula stands as the most general of its kind; in particular we extend the results of Ichino-Templier. We also give classical refinements of our formula and study the p-adic generalisations of the Bessel transform.
Computer Science
Faculty of Environment, Science and Economy
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