The arithmetic Kuznetsov formula on \(\mathrm{GL}(3)\). I: The Whittaker case

DOI10.4171/rmi/1113zbMath1478.11102arXiv1708.09685OpenAlexW2963066671WikidataQ127452780 ScholiaQ127452780MaRDI QIDQ2280524

Jack Buttcane

Publication date: 18 December 2019

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.09685

zbMATH Keywords

exponential sumsKloosterman sumsWhittaker functions\(\mathrm{GL}(3)\)Kloosterman zeta functionKuznetsov

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Gauss and Kloosterman sums; generalizations (11L05) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items

Parametrization of Kloosterman sets and \(\mathrm{SL}_3\)-Kloosterman sums, The arithmetic Kuznetsov formula on \(\mathrm{GL}(3)\). II: The general case, On sums of hyper-Kloosterman sums, Kuznetsov, Petersson and Weyl on \(\mathrm{GL}(3)\). II: The generalized principal series forms, The Relative Trace Formula in Analytic Number Theory

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