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

2009/10/18 by Borislav Mezhericher, Mezhericher, Borislav
Mathematics · #11-04 #11F55 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.0910.3344

openalex publication_date 2009/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present and compare several algorithms for evaluating Jacquet's Whittaker functions for SL(3, Z). The most suitable algorithm is then applied to the problem of evaluating a Maass form for SL(3, Z) with known eigenvalues and Fourier coefficients.

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