ASYMPTOTIC VORONOI'S SUMMATION FORMULAS AND THEIR DUALITY FOR SL3(ℤ)

DOI10.1142/9789814452458_0012zbMath1353.11073OpenAlexW2328061093MaRDI QIDQ5416183

Yangbo Ye, Xiu Min Ren

Publication date: 19 May 2014

Published in: Number Theory: Arithmetic in Shangri-La (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789814452458_0012

zbMATH Keywords

Voronoi's summation formula

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Fourier coefficients of automorphic forms (11F30)

Related Items (10)

Sums of the triple divisor function over values of a ternary quadratic form ⋮ Resonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for \(\mathrm{GL}_m(\mathbb Z)\) ⋮ Double square moments and bounds for resonance sums of cusp forms ⋮ Improved subconvexity bounds for 𝐺𝐿(2)×𝐺𝐿(3) and 𝐺𝐿(3) 𝐿-functions by weighted stationary phase ⋮ Exponential sums involving automorphic forms for \(\mathrm{GL}(3)\) over arithmetic progressions ⋮ Computing the Laplace eigenvalue and level of Maass cusp forms ⋮ Resonance sums for Rankin-Selberg products of \(\mathrm{SL}_m(\mathbb{Z})\) Maass cusp forms ⋮ Further improvement on bounds for L-functions related to GL(3) ⋮ Resonance of automorphic forms for 𝐺𝐿(3) ⋮ Bounds toward hypothesis S for cusp forms

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