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A NOTE ON SERRE'S CONJECTURE MODULO 6

Published online by Cambridge University Press:  02 February 2004

J. MANOHARMAYUM
J. MANOHARMAYUM
Affiliation:
Department of Pure Mathematics, University of Sheffield, Sheffield S3 7RH j.manoharmayum@sheffield.ac.uk
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Abstract

It is shown that, given continuous, absolutely irreducible representations of ${\rm Gal}(\mathbb{Q}^{\rm ac}/\mathbb{Q})$ with values in ${\rm GL}_2(\mathbb{F}_2)$ and ${\rm GL}_2(\mathbb{F}_3)$, and having cyclotomic determinant, there is a weight 2 newform of some level whose mod $2$ and mod $3$ representations are equivalent to those given.

Keywords

11F8011F33 (primary)11G18 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 2 , March 2004 , pp. 216 - 220
Copyright
© The London Mathematical Society 2004

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