On the Voronoĭ formula for GL(<i>n</i>)

DOI10.1353/ajm.2013.0005zbMath1284.11077OpenAlexW2063177320MaRDI QIDQ4907950

Atsushi Ichino, Nicolas Templier

Publication date: 27 February 2013

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1353/ajm.2013.0005

zbMATH Keywords

Fourier coefficientKloosterman integralVononoi formula

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Fourier coefficients of automorphic forms (11F30)

Related Items (18)

A Vorono\xEF–Oppenheim summation formula for number fields ⋮ Voronoi-type identity for a class of arithmetical functions via the Laplace transform ⋮ Bessel functions and Kloosterman integrals on \(\mathrm{GL}(n)\) ⋮ Certain Fourier operators and their associated Poisson summation formulae on \(\operatorname{GL}_1\) ⋮ A Voronoi summation formula for non-holomorphic Maass forms of half-integral weight ⋮ Voronoi summation formulae on \(\mathrm{GL}(n)\) ⋮ A Voronoi-Oppenheim summation formula for totally real number fields ⋮ Lectures on applied ℓ-adic cohomology ⋮ Fourier coefficients of \(\mathrm{GL}(N)\) automorphic forms in arithmetic progressions ⋮ Bessel functions for \(\mathrm{GL}_2\) ⋮ \(L^4\)-norms of Hecke newforms of large level ⋮ On exponential sums for coefficients of general L-functions ⋮ Dirichlet twists of \(\mathrm{GL}_n\)-automorphic \(L\)-functions and hyper-Kloosterman Dirichlet series ⋮ Theory of Fundamental Bessel Functions of High Rank ⋮ Voronoi summation formula for Gaussian integers ⋮ Subconvexity for twisted 𝐿-functions on 𝐺𝐿₃ over the Gaussian number field ⋮ On the balanced Voronoï formula for \(\mathrm{GL}_N\) ⋮ Voronoï summation for GLn: collusion between level and modulus

This page was built for publication: On the Voronoĭ formula for GL(<i>n</i>)