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Maass cusp forms for large eigenvalues

Mathematical Physics 2017-04-27 v1 math.MP Number Theory

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.

Cite

@article{arxiv.math-ph/0305047,
  title  = {Maass cusp forms for large eigenvalues},
  author = {H. Then},
  journal= {arXiv preprint arXiv:math-ph/0305047},
  year   = {2017}
}

Comments

24 pages, 7 figures, 3 tables