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Differential operators on modular forms (mod p)

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Author(s): Alexandru Ghitza

Publication date Created: 29 June 2018

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Abstract

We give a survey of recent work on the construction of differential operators on various types of modular forms (mod p). We also discuss a framework for determining the effect of such operators on the mod p Galois representations attached to Hecke eigenforms.

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Most cited references 9

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Elliptic Modular Forms and Their Applications

Don Zagier (2008)

0 comments Cited 57 times – based on 0 reviews

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Modular forms in characteristic $\ell$ -functions

Avner Ash, Glenn Stevens (1986)

0 comments Cited 21 times – based on 0 reviews      Review now

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Rankin–Cohen Operators for Jacobi and Siegel Forms

YoungJu Choie, Wolfgang Eholzer (1998)

0 comments Cited 7 times – based on 0 reviews      Review now

Author and article information

Journal

Publication date Created: 29 June 2018

Article

ArXiV ID: 1806.11261

SO-VID: 47c7cccd-6e54-4819-b26b-eb282621ee3c

License:

http://arxiv.org/licenses/nonexclusive-distrib/1.0/

History

Custom metadata

ACM classes 11F60, 11F80, 11F25, 11F46, 11F55, 11F75

Comments 13 pages; proceedings of the January 2018 Workshop on automorphic forms at RIMS, Kyoto

Categories math.NT

ScienceOpen disciplines: Number theory

Data availability:

ScienceOpen disciplines: Number theory

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