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In search of p-adic Maaß forms

By Jan Vonk

Appears in collection : Conference of the Number Theory network RT2N / Conférerence du regroupement thématique Théorie des nombres RT2N

Following a suggestion of Blasius and Calegari, we explore some analogies between Maass wave forms and (p-adic) overconvergent eigenforms. This is an attempt to further flesh out a recently emerging collection of arithmetic applications of this circle of ideas. This is joint work with Paolo Bordignon. 

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