ScholarLens Back to search
2004•Mathematics of ComputationOpen access

Maaß cusp forms for large eigenvalues

Holger Then

Open full text 52 citations

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 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 130 130 millionth eigenvalue.

Open-access reader

About this research paper

What this paper is about

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 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 130 130 millionth eigenvalue.

Why it matters

OpenAlex reports 52 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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 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 130 130 millionth eigenvalue.

Key concepts: Cusp form, Mathematics, Cusp (singularity), Eigenvalues and eigenvectors, Modular form, Modular group, Computation, Pure mathematics

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Maaß cusp forms for large eigenvalues — Research Paper | ScholarLens