A method for computing general automorphic forms on general groups

DOI10.1515/FORUM.2010.063zbMath1226.11064arXiv0801.3299MaRDI QIDQ3060234

Stephen D. Miller

Publication date: 1 December 2010

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3299

zbMATH Keywords

computing automorphic formsVoronoi-type summation formulas

Mathematics Subject Classification ID

Number-theoretic algorithms; complexity (11Y16) Other groups and their modular and automorphic forms (several variables) (11F55) Other Dirichlet series and zeta functions (11M41) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Cites Work

• Automorphic distributions, \(L\)-functions, and Voronoi summation for \(\text{GL}(3)\)
• Weyl's law for the cuspidal spectrum of \(\mathrm{SL}(n)\)
• Automorphic forms on \(GL(3)\). I, II
• On the existence and temperedness of cusp forms for SL3(Z)
• EVERYWHERE UNRAMIFIED AUTOMORPHIC COHOMOLOGY FOR SL₃(ℤ)
• Nearly ordinary Galois deformations over arbitrary number fields
• Harmonic Analysis on Nilmanifolds

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