Weighted Selberg orthogonality and uniqueness of factorization of automorphic L-functions

Jianya Liu; Yangbo Ye

doi:10.1515/form.2005.17.3.493

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Weighted Selberg orthogonality and uniqueness of factorization of automorphic L-functions

Journal article

Peer reviewed

Weighted Selberg orthogonality and uniqueness of factorization of automorphic L-functions

Jianya Liu and Yangbo Ye

Forum mathematicum, Vol.17(3), pp.493-512

2005

DOI: 10.1515/form.2005.17.3.493

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Abstract

We prove a weighted version of Selberg’s orthogonality conjecture for automorphic L-functions attached to irreducible cuspidal representations of GLm over ℚ. Using this weighted orthogonality, we obtain the uniqueness of factorization of general L-functions. As a consequence, we prove that the L-function attached to an automorphic irreducible cuspidal representation of GLm over ℚ cannot be factored further.

Details

Title: Subtitle: Weighted Selberg orthogonality and uniqueness of factorization of automorphic L-functions
Creators: Jianya Liu
Yangbo Ye
Resource Type: Journal article
Publication Details: Forum mathematicum, Vol.17(3), pp.493-512
DOI: 10.1515/form.2005.17.3.493
ISSN: 0933-7741
eISSN: 1435-5337
Language: English
Date published: 2005
Academic Unit: Mathematics
Record Identifier: 9983986087802771

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