A New p-adic Maass-Shimura Operator and Supersingular Rankin-Selberg p-adic L-functions

We give a construction of a new p-adic Maass-Shimura operator defined on an affi- noid subdomain of the preperfectoid p-adic universal cover Y of a modular curve Y . We define a new notion of p-adic modular forms as sections of a certain sheaf O∆ of “nearly rigid functions...

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Bibliographic Details
Main Author: Kriz, Daniel
Other Authors: Zhang, Shou-Wu
Format: Academic dissertations (Ph.D.)
Published: Princeton, NJ : Princeton University 2018
Online Access:http://arks.princeton.edu/ark:/88435/dsp01x633f372s

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