A relation between multiplicity one and Böcherer's conjecture

Abhishek Saha

doi:10.1007/s11139-013-9489-8

A relation between multiplicity one and Böcherer's conjecture

Abhishek Saha

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Abstract

We show that a weak form of the generalized Böcherer's conjecture implies multiplicity one for Siegel cusp forms of degree 2.

Original language	English
Pages (from-to)	263-268
Number of pages	6
Journal	Ramanujan Journal
Volume	33
Issue number	2
Early online date	2 Jul 2013
DOIs	https://doi.org/10.1007/s11139-013-9489-8
Publication status	Published - 2014

Bibliographical note

Date of Acceptance: 08/04/2013

Keywords

Siegel modular forms
Multiplicity one
Special values
L-functions
Automorphic forms
Bocherer's conjecture
Fourier coefficients

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title = "A relation between multiplicity one and B{\"o}cherer's conjecture",

abstract = "We show that a weak form of the generalized B{\"o}cherer's conjecture implies multiplicity one for Siegel cusp forms of degree 2.",

keywords = "Siegel modular forms, Multiplicity one, Special values, L-functions, Automorphic forms, Bocherer's conjecture, Fourier coefficients",

author = "Abhishek Saha",

note = "Date of Acceptance: 08/04/2013",

year = "2014",

doi = "10.1007/s11139-013-9489-8",

language = "English",

volume = "33",

pages = "263--268",

journal = "Ramanujan Journal",

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T1 - A relation between multiplicity one and Böcherer's conjecture

AU - Saha, Abhishek

N1 - Date of Acceptance: 08/04/2013

PY - 2014

Y1 - 2014

N2 - We show that a weak form of the generalized Böcherer's conjecture implies multiplicity one for Siegel cusp forms of degree 2.

AB - We show that a weak form of the generalized Böcherer's conjecture implies multiplicity one for Siegel cusp forms of degree 2.

KW - Siegel modular forms

KW - Multiplicity one

KW - Special values

KW - L-functions

KW - Automorphic forms

KW - Bocherer's conjecture

KW - Fourier coefficients

U2 - 10.1007/s11139-013-9489-8

DO - 10.1007/s11139-013-9489-8

M3 - Article (Academic Journal)

SN - 1382-4090

VL - 33

SP - 263

EP - 268

JO - Ramanujan Journal

JF - Ramanujan Journal

IS - 2

ER -

A relation between multiplicity one and Böcherer's conjecture

Abstract

Bibliographical note

Keywords

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