Upper bounds for geodesic periods over hyperbolic manifolds

Feng Su

doi:10.1142/S0129167X1850009X

Upper bounds for geodesic periods over hyperbolic manifolds

Feng Su^*

^*Corresponding author for this work

Chinese Academy of Sciences

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We prove an upper bound for geodesic periods of Maass forms over hyperbolic manifolds. By definition, such periods are integrals of Maass forms restricted to a special geodesic cycle of the ambient manifold, against a Maass form on the cycle. Under certain restrictions, the bound will be uniform.

Original language	English
Article number	1850009
Journal	International Journal of Mathematics
Volume	29
Issue number	1
DOIs	https://doi.org/10.1142/S0129167X1850009X
Publication status	Published - 1 Jan 2018
Externally published	Yes

Keywords

Geodesic period
Maass form
hyperbolic manifold

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10.1142/S0129167X1850009X

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Upper bounds for geodesic periods over hyperbolic manifolds

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Keywords

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