Some notes on distribution of Hecke eigenvalues for Maass cusp forms

DOI10.1007/s10986-017-9377-9zbMath1408.11036OpenAlexW2767033796MaRDI QIDQ683368

Yingnan Wang, Xuanxuan Xiao

Publication date: 6 February 2018

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-017-9377-9

zbMATH Keywords

Sato-Tate conjectureMaass cusp form

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (1)

On the exceptional set of the generalized Ramanujan conjecture for \(\mathrm{GL}(3)\)

Cites Work

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• Quantitative version of the joint distribution of eigenvalues of the Hecke operators
• Distribution of values at 1 of symmetric power $L$-functions of Maass cusp forms
• A density theorem and extreme values of automorphic L-functions at one
• The distribution of the eigenvalues of Hecke operators
• Central limit theorem for Artin L-functions
• Distribution of Hecke eigenvalues
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• THE QUANTITATIVE DISTRIBUTION OF HECKE EIGENVALUES
• A density theorem on automorphic $L$-functions and some applications
• The Gaussian Law of Errors in the Theory of Additive Number Theoretic Functions

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