The Atkin operator on spaces of overconvergent modular forms and arithmetic applications

<p>We investigate the action of the Atkin operator on spaces of overconvergent p-adic modular forms. Our contributions are both computational and geometric. We present several algorithms to compute the spectrum of the Atkin operator, as well as its p-adic variation as a function of the weight....

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Bibliographic Details
Main Authors: Vonk, J, Jan Vonk
Other Authors: Kim, M
Format: Thesis
Language:English
Published: 2015
Subjects: