On Selberg's small eigenvalue conjecture and residual eigenvalues

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

On Selberg's small eigenvalue conjecture and residual eigenvalues. / Risager, Morten S.

In: Journal fur die Reine und Angewandte Mathematik, Vol. 656, 2011, p. 179-211.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Risager, MS 2011, 'On Selberg's small eigenvalue conjecture and residual eigenvalues', Journal fur die Reine und Angewandte Mathematik, vol. 656, pp. 179-211. <http://arxiv.org/abs/0707.2332>

APA

Risager, M. S. (2011). On Selberg's small eigenvalue conjecture and residual eigenvalues. Journal fur die Reine und Angewandte Mathematik, 656, 179-211. http://arxiv.org/abs/0707.2332

Vancouver

Risager MS. On Selberg's small eigenvalue conjecture and residual eigenvalues. Journal fur die Reine und Angewandte Mathematik. 2011;656:179-211.

Author

Risager, Morten S. / On Selberg's small eigenvalue conjecture and residual eigenvalues. In: Journal fur die Reine und Angewandte Mathematik. 2011 ; Vol. 656. pp. 179-211.

Bibtex

@article{d194a910988411df928f000ea68e967b,
title = "On Selberg's small eigenvalue conjecture and residual eigenvalues",
abstract = "We show that Selberg{\textquoteright}s eigenvalue conjecture concerning small eigenvalues of the automorphic Laplacian for congruence groups is equivalent to a conjecture about the non-existence of residual eigenvalues for a perturbed system. We prove this using a combination of methods from asymptotic perturbation theory and number theory.",
author = "Risager, {Morten S.}",
year = "2011",
language = "English",
volume = "656",
pages = "179--211",
journal = "Journal fuer die Reine und Angewandte Mathematik",
issn = "0075-4102",
publisher = "Walterde Gruyter GmbH",

}

RIS

TY - JOUR

T1 - On Selberg's small eigenvalue conjecture and residual eigenvalues

AU - Risager, Morten S.

PY - 2011

Y1 - 2011

N2 - We show that Selberg’s eigenvalue conjecture concerning small eigenvalues of the automorphic Laplacian for congruence groups is equivalent to a conjecture about the non-existence of residual eigenvalues for a perturbed system. We prove this using a combination of methods from asymptotic perturbation theory and number theory.

AB - We show that Selberg’s eigenvalue conjecture concerning small eigenvalues of the automorphic Laplacian for congruence groups is equivalent to a conjecture about the non-existence of residual eigenvalues for a perturbed system. We prove this using a combination of methods from asymptotic perturbation theory and number theory.

M3 - Journal article

VL - 656

SP - 179

EP - 211

JO - Journal fuer die Reine und Angewandte Mathematik

JF - Journal fuer die Reine und Angewandte Mathematik

SN - 0075-4102

ER -

ID: 21013293