Evaluating Whittaker functions and Maass forms for 𝑆𝐿(3,ℤ)

DOI10.1090/S0025-5718-2011-02499-3zbMath1275.11082arXiv0910.3344MaRDI QIDQ3094296

Borislav Mezhericher

Publication date: 24 October 2011

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

Full work available at URL: https://arxiv.org/abs/0910.3344

zbMATH Keywords

Maass formsWhittaker functions\(\mathrm{SL}(3,\mathbb Z)\)

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Analysis on real and complex Lie groups (22E30) Other groups and their modular and automorphic forms (several variables) (11F55) Software, source code, etc. for problems pertaining to number theory (11-04) Computational number theory (11Y99)

Related Items (1)

Evaluating Whittaker functions and Maass forms for 𝑆𝐿(3,ℤ)

Uses Software

• PARI/GP

Cites Work

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• Automorphic forms on GL(3,\({\mathbb{R}})\)
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• The multiplicity one theorem for \(\mathrm{GL}_n\)
• Unramified Whittaker functions for \(GL(3,\mathbb{R})\)
• Discovery of the double exponential transformation and its developments
• The special functions and their approximations. Vol. I, II
• Evaluating Jacquet’s $\mathbf {{\rm GL}(n)}$ Whittaker function
• Evaluating Whittaker functions and Maass forms for 𝑆𝐿(3,ℤ)
• Computing GL(3) automorphic forms
• Numerical Calculation of Certain Definite Integrals by Poisson's Summation Formula
• Effective computation of Maass cusp forms
• Automorphic Forms and L-Functions for the GroupGL(n, R)
• Computational methods and experiments in analytic number theory
• Fonctions de Whittaker associées aux groupes de Chevalley

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