Zeros of Rankin–Selberg L-functions in families

Peter Humphries; Jesse Thorner

doi:10.1112/S0010437X24007085

Zeros of Rankin–Selberg L-functions in families

Peter Humphries, Jesse Thorner

Mathematics

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

Abstract

Let F_n be the set of all cuspidal automorphic representations π of GL_n with unitary central character over a number field F. We prove the first unconditional zero density estimate for the set S = {L(s, π × π): π ∈ F_n} of Rankin–Selberg L-functions, where π ∈ F_n is fixed.

Original language	English (US)
Pages (from-to)	1041-1072
Number of pages	32
Journal	Compositio Mathematica
Volume	160
Issue number	5
DOIs	https://doi.org/10.1112/S0010437X24007085
State	Published - Apr 3 2024

Keywords

Rankin–Selberg L-functions
automorphic forms
subconvexity
zero density estimate

ASJC Scopus subject areas

Algebra and Number Theory

Online availability

10.1112/S0010437X24007085

Library availability

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KW - subconvexity

KW - zero density estimate

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Zeros of Rankin–Selberg L-functions in families

Abstract

Keywords

ASJC Scopus subject areas

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