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Weights of Modular Forms on so+(2, l) and Congruences Between Eisenstein Series and Cusp forms of Half-Integral Weight on SL2

Part of: Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  21 December 2009

Richard Hill
Richard Hill
Affiliation:
Department of Mathematics, University College London, Gower Street, London WC1E 6BT, England.
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Abstract

Let E be a level 1, vector valued Eisenstein series of half-integral weight, normalized so that the coefficients are all in ℤ. It is shown that there is a level one vector valued cusp form f with the same weight as E and with coefficients in ℤ, which is congruent to E modulo the constant term of E.

MSC classification

Secondary: 11F33: Congruences for modular and $p$-adic modular forms 11F37: Forms of half-integer weight; nonholomorphic modular forms
Type
Research Article
Information
Mathematika , Volume 54 , Issue 1-2 , December 2007 , pp. 47 - 58
Copyright
Copyright © University College London 2007

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