Cup products and L-values of cusp forms

Romyar T. Sharifi

doi:10.4310/PAMQ.2009.v5.n1.a10

Cup products and L-values of cusp forms

Romyar T. Sharifi

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

1 Scopus citations

Abstract

In this note, we describe a conjecture that, for an odd prime p, relates special values of a cup product pairing on cyclotomic p-units in Q(μ_p) to the L-values of newforms satisfying modulo p congruences with Eisenstein series for SL₂(Z).

Original language	English (US)
Pages (from-to)	339-348
Number of pages	10
Journal	Pure and Applied Mathematics Quarterly
Volume	5
Issue number	1
DOIs	https://doi.org/10.4310/PAMQ.2009.v5.n1.a10
State	Published - Jan 2009
Externally published	Yes

Keywords

Cup products
Cyclotomic p-units
Hecke eigenforms
L-values
Modular symbols

ASJC Scopus subject areas

General Mathematics

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10.4310/PAMQ.2009.v5.n1.a10

Cite this

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title = "Cup products and L-values of cusp forms",

abstract = "In this note, we describe a conjecture that, for an odd prime p, relates special values of a cup product pairing on cyclotomic p-units in Q(μp) to the L-values of newforms satisfying modulo p congruences with Eisenstein series for SL2(Z).",

keywords = "Cup products, Cyclotomic p-units, Hecke eigenforms, L-values, Modular symbols",

author = "Sharifi, {Romyar T.}",

year = "2009",

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doi = "10.4310/PAMQ.2009.v5.n1.a10",

language = "English (US)",

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journal = "Pure and Applied Mathematics Quarterly",

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AU - Sharifi, Romyar T.

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N2 - In this note, we describe a conjecture that, for an odd prime p, relates special values of a cup product pairing on cyclotomic p-units in Q(μp) to the L-values of newforms satisfying modulo p congruences with Eisenstein series for SL2(Z).

AB - In this note, we describe a conjecture that, for an odd prime p, relates special values of a cup product pairing on cyclotomic p-units in Q(μp) to the L-values of newforms satisfying modulo p congruences with Eisenstein series for SL2(Z).

KW - Cup products

KW - Cyclotomic p-units

KW - Hecke eigenforms

KW - L-values

KW - Modular symbols

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DO - 10.4310/PAMQ.2009.v5.n1.a10

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EP - 348

JO - Pure and Applied Mathematics Quarterly

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IS - 1

ER -

Cup products and L-values of cusp forms

Abstract

Keywords

ASJC Scopus subject areas

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