Voronoï summation via switching cusps
نویسندگان
چکیده
Abstract We consider the Fourier expansion of a Hecke (resp. Hecke–Maaß) cusp form general level N at various cusps $$\Gamma _{0}(N)\backslash \mathbb {H}$$ Γ 0 ( N ) \ H . explain how to compute these coefficients via local theory p -adic Whittaker functions and establish classical Voronoï summation formula allowing an arbitrary additive twist. Our discussion has applications bounding sums understanding (generalised) Atkin–Lehner relations.
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ژورنال
عنوان ژورنال: Monatshefte für Mathematik
سال: 2021
ISSN: ['0026-9255', '1436-5081']
DOI: https://doi.org/10.1007/s00605-021-01537-5