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Eisenstein Congruences for SO(4, 3), SO(4, 4), Spinor, and Triple Product L-values
Stockholm University, Faculty of Science, Department of Mathematics.
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2018 (English)In: Experimental Mathematics, ISSN 1058-6458, E-ISSN 1944-950X, Vol. 27, no 2, p. 230-250Article in journal (Refereed) Published
Abstract [en]

We work out instances of a general conjecture on congruences between Hecke eigenvalues of induced and cuspidal automorphic representations of a reductive group, modulo divisors of certain critical L-values, in the case that the group is a split orthogonal group. We provide some numerical evidence in the case that the group is SO(4, 3) and the L-function is the spinor L-function of a genus 2, vector-valued, Siegel cusp form. We also consider the case that the group is SO(4, 4) and the L-function is a triple product L-function.

Place, publisher, year, edition, pages
2018. Vol. 27, no 2, p. 230-250
Keywords [en]
level one automorphic forms, Eisenstein congruences, critical L-values
National Category
Other Mathematics
Identifiers
URN: urn:nbn:se:su:diva-161648DOI: 10.1080/10586458.2016.1251861OAI: oai:DiVA.org:su-161648DiVA, id: diva2:1260472
Available from: 2018-11-02 Created: 2018-11-02 Last updated: 2018-11-05Bibliographically approved

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