Maass cusp forms for large eigenvalues

Details Maass cusp forms for large eigenvalues Maass cusp forms for large eigenvalues

2003-05-23

arxiv.org/abs/math-ph/0305047v1

Math. Comp. 74 (2005) 363-381

Physics

Mathematical Physics

24 pages, 7 figures, 3 tables

Scientific paper

We investigate the numerical computation of Maass cusp forms for the modular
group corresponding to large eigenvalues. We present Fourier coefficients of
two cusp forms whose eigenvalues exceed r=40000. These eigenvalues are the
largest that have so far been found in the case of the modular group. They are
larger than the 130millionth eigenvalue.

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