Maass cusp forms for large eigenvalues
arXiv:math-ph/0305047 · doi:10.1090/S0025-5718-04-01658-8
Abstract
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.
24 pages, 7 figures, 3 tables
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