The Relative Trace Formula in Analytic Number Theory

DOI10.1007/978-3-030-68506-5_2zbMath1483.11101arXiv1912.08137OpenAlexW2996617194MaRDI QIDQ4956856

Publication date: 2 September 2021

Published in: Simons Symposia (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.08137

zbMATH Keywords

$L$-functions equidistribution modular group trace formula Kloosterman sums cusp forms Fourier coefficient Kuznetsov formula Bruggeman formula

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Fourier coefficients of automorphic forms (11F30) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (2)

The arithmetic Kuznetsov formula on $\mathrm{GL}(3)$. II: The general case ⋮ Symplectic Kloosterman sums and Poincaré series

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