Weights of modular forms on $\mathrm{SO}^{+}(2,l)$ and congruences between Eisenstein series and cusp forms of half-integral weight on $\mathrm{SL}_{2}$

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dc.creatorHill, Richard
dc.date2007-07-16
dc.date.accessioned2026-07-07T08:18:34Z
dc.date.available2026-07-07T08:18:34Z
dc.descriptionLet $E$ be a level 1, vector valued Eisenstein series of half-integral weight, normalized so that the coefficients are all in $\mathbb{Z}$. We show that there is a level one vector valued cusp form $f$ with the same weight as $E$ and with coefficients in $\mathbb{Z}$, which is congruent to $E$ modulo the constant term of $E$.
dc.identifierhttps://arxiv.org/abs/0707.2365
dc.identifierhttp://arxiv.org/abs/0707.2365
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134478
dc.subjectNumber Theory
dc.subject11F33
dc.titleWeights of modular forms on $\mathrm{SO}^{+}(2,l)$ and congruences between Eisenstein series and cusp forms of half-integral weight on $\mathrm{SL}_{2}$
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