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Spectral Multiplicity for Maaß Newforms ...

Humphries, Peter...

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Spectral Multiplicity for Maaß Newforms of Non-Squarefree Level by Humphries, Peter ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	24-02-2015
Summary	We show that if a positive integer q has s(q) odd prime divisors p for which p2 divides q, then a positive proportion of the Laplacian eigenvalues of Maass newforms of weight 0, level q, and principal character occur with multiplicity at least 2s(q). Consequently, the new part of the cuspidal spectrum of the Laplacian on Γ0(q)∖H cannot be simple for any odd non-squarefree integer q. This generalises work of Stromberg, who proved this for q=9 by different methods.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://arxiv.org/abs/1502.06885

Citation

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AMA 11th EditionReferences

Humphries, Peter. Spectral Multiplicity for Maaß Newforms of Non-Squarefree Level. N.A. February 24, 2015. Accessed October 01, 2025. https://online.provdatabase.com/cite/18387

APA 7th EditionReferences

Humphries, Peter. (2015). Spectral Multiplicity for Maaß Newforms of Non-Squarefree Level. N.A. https://online.provdatabase.com/cite/18387

Chicago 17th EditionReferences

Humphries, Peter. Spectral Multiplicity for Maaß Newforms of Non-Squarefree Level. N.A. 2015. https://online.provdatabase.com/cite/18387

HarvardReferences

Humphries, Peter. (2015). Spectral Multiplicity for Maaß Newforms of Non-Squarefree Level. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18387. (Accessed 01 October 2025).

Harvard AustraliaReferences

Humphries, Peter, 2015, Spectral Multiplicity for Maaß Newforms of Non-Squarefree Level, N.A, viewed 01 October 2025, <https://online.provdatabase.com/cite/18387>

MLA 9th EditionWorks Cited

Humphries, Peter. Spectral Multiplicity for Maaß Newforms of Non-Squarefree Level. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18387.

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