Estimates for Rankin-Selberg L-functions and quantum unique ergodicity

Peter Sarnak

doi:10.1006/jfan.2001.3783

Estimates for Rankin-Selberg L-functions and quantum unique ergodicity

Peter Sarnak

Mathematics

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

107 Scopus citations

Abstract

Subconvex bounds in the weight aspect for Rankin-Selberg L-functions associated to two cusp forms are established. These bounds are applied to prove the equidistribution of mass conjecture for CM forms.

Original language	English (US)
Pages (from-to)	419-453
Number of pages	35
Journal	Journal of Functional Analysis
Volume	184
Issue number	2
DOIs	https://doi.org/10.1006/jfan.2001.3783
State	Published - Aug 20 2001

All Science Journal Classification (ASJC) codes

Analysis

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10.1006/jfan.2001.3783

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title = "Estimates for Rankin-Selberg L-functions and quantum unique ergodicity",

abstract = "Subconvex bounds in the weight aspect for Rankin-Selberg L-functions associated to two cusp forms are established. These bounds are applied to prove the equidistribution of mass conjecture for CM forms.",

author = "Peter Sarnak",

note = "Funding Information: 1Supported by an NSF grant.",

year = "2001",

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AB - Subconvex bounds in the weight aspect for Rankin-Selberg L-functions associated to two cusp forms are established. These bounds are applied to prove the equidistribution of mass conjecture for CM forms.

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Estimates for Rankin-Selberg L-functions and quantum unique ergodicity

Abstract

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