Martin, Kimball The Jacquet-Langlands correspondence, Eisenstein congruences, and integral \(L\)-values in weight \(2\). (English) Zbl 1429.11090 Math. Res. Lett. 24, No. 6, 1775-1795 (2017). Summary: 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. Cited in 13 Documents MSC: 11F41 Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces 11F30 Fourier coefficients of automorphic forms 11F67 Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols Keywords:Jacquet-Langlands correspondence; \(L\)-values; Hilbert modular forms PDFBibTeX XMLCite \textit{K. Martin}, Math. Res. Lett. 24, No. 6, 1775--1795 (2017; Zbl 1429.11090) Full Text: DOI arXiv