English

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

Number Theory 2009-10-20 v1

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.

Cite

@article{arxiv.0910.3344,
  title  = {Evaluating Whittaker functions and Maass forms for SL(3,Z)},
  author = {Borislav Mezhericher},
  journal= {arXiv preprint arXiv:0910.3344},
  year   = {2009}
}

Comments

13 pages; this is a revised chapter of the author's PhD thesis

R2 v1 2026-06-21T13:59:44.876Z