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The Jacquet-Langlands correspondence, Eisenstein congruences, and integral L-values in weight 2 (1601.03284v4)

Published 13 Jan 2016 in math.NT

Abstract: We use the Jacquet-Langlands correspondence to generalize well-known congruence results of Mazur on Fourier coefficients and L-values of elliptic modular forms for prime level in weight 2 both to nonsquare level and to Hilbert modular forms.

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