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- Centre National de la Recherche ScientifiqueFR17 papers
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4 papers · 1 filter
Supercongruences for the Catalan-Larcombe-French numbers
Frazer Jarvis, Helena Verrill
We develop the Stienstra-Beukers theory of supercongruences in the setting of the Catalan-Larcombe-French sequence. We also give some applications to other sequences.
Arithmetic properties of similitude theta lifts from orthogonal to symplectic groups
Tobias Berger
By adapting the work of Kudla and Millson we obtain a lifting of cuspidal cohomology classes for the symmetric space associated to GO(V) for an indefinite rational quadratic space…
The canonical fractional Galois ideal at s=0
Paul Buckingham
The Stickelberger elements attached to an abelian extension of number fields conjecturally participate, under certain conditions, in annihilator relations involving higher algebrai…
On the modularity of supersingular elliptic curves over certain totally real number fields
Frazer Jarvis, Jayanta Manoharmayum
We study generalisations to totally real fields of methods originating with Wiles and Taylor-Wiles. In view of the results of Skinner-Wiles on elliptic curves with ordinary reducti…