Maaß cusp forms for large eigenvalues

Holger Then

Research output: Contribution to journalArticle (Academic Journal)peer-review

31 Citations (Scopus)
309 Downloads (Pure)

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 130 millionth eigenvalue.
Original languageEnglish
Pages (from-to)363-381
Number of pages19
JournalMathematics of Computation
Volume74
DOIs
Publication statusPublished - 23 Mar 2004

Keywords

  • Mathematics - Number Theory
  • Maass forms

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