A new method for lower bounds of L-functions

Stephen S. Gelbart; Erez M. Lapid; Peter Sarnak

doi:10.1016/j.crma.2004.04.024

A new method for lower bounds of L-functions

Stephen S. Gelbart
, Erez M. Lapid
, Peter Sarnak

Mathematics

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

19 Scopus citations

Abstract

Let L(s,π,r) be an L-function which appears in the Langlands-Shahidi theory. We give a lower bound for L(s,π, r) when R(s) = 1 using Eisenstein series. This method is applicable even when L(s,π,r) is not known to be absolutely convergent for R(s) > 1.

Original language	English (US)
Pages (from-to)	91-94
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	339
Issue number	2
DOIs	https://doi.org/10.1016/j.crma.2004.04.024
State	Published - Jul 15 2004

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/j.crma.2004.04.024

Cite this

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title = "A new method for lower bounds of L-functions",

abstract = "Let L(s,π,r) be an L-function which appears in the Langlands-Shahidi theory. We give a lower bound for L(s,π, r) when R(s) = 1 using Eisenstein series. This method is applicable even when L(s,π,r) is not known to be absolutely convergent for R(s) > 1.",

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AU - Gelbart, Stephen S.

AU - Lapid, Erez M.

AU - Sarnak, Peter

PY - 2004/7/15

Y1 - 2004/7/15

N2 - Let L(s,π,r) be an L-function which appears in the Langlands-Shahidi theory. We give a lower bound for L(s,π, r) when R(s) = 1 using Eisenstein series. This method is applicable even when L(s,π,r) is not known to be absolutely convergent for R(s) > 1.

AB - Let L(s,π,r) be an L-function which appears in the Langlands-Shahidi theory. We give a lower bound for L(s,π, r) when R(s) = 1 using Eisenstein series. This method is applicable even when L(s,π,r) is not known to be absolutely convergent for R(s) > 1.

UR - https://www.scopus.com/pages/publications/3042734356

UR - https://www.scopus.com/pages/publications/3042734356#tab=citedBy

U2 - 10.1016/j.crma.2004.04.024

DO - 10.1016/j.crma.2004.04.024

M3 - Article

AN - SCOPUS:3042734356

SN - 1631-073X

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SP - 91

EP - 94

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 2

ER -

A new method for lower bounds of L-functions

Abstract

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