On the balanced Voronoï formula for \(\mathrm{GL}_N\)

DOI10.7169/FACM/1810zbMath1465.11110arXiv1910.12426OpenAlexW2981603503MaRDI QIDQ782780

Tian An Wong

Publication date: 29 July 2020

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.12426

zbMATH Keywords

automorphic formsVoronoï summation formula

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Cites Work

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• Voronoi summation formulae on \(\mathrm{GL}(n)\)
• A spectral reciprocity formula and non-vanishing for \(L\)-functions on \(\mathrm{GL}(4)\times\mathrm{GL}(2)\)
• Zeta functions of simple algebras
• Twisted moments of \(L\)-functions and spectral reciprocity
• On the formal arc space of a reductive monoid
• A general Voronoi summation formula for GL(n,Z)
• On the Voronoĭ formula for GL(<i>n</i>)
• Kuznetsov’s trace formula and the Hecke eigenvalues of Maass forms
• A relative trace formula proof of the Petersson trace formula

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