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Symboles modulaires surconvergents et fonctions L p-adiques

Abstract : We come back to the construction of p-adic L-functions attached to cusp forms of even weight k in the spirit of G. Stevens, R. Pollack [7] and M. Greenberg [3] with a new unified presentation including the non-ordinary case. This construction is based on Stevens's modular symbols rather than q-developments. We review the proofs in order to obtain an effective algorithm guaranteeing a given p-adic accuracy.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03112844
Contributor : Bernadette Perrin-Riou Connect in order to contact the contributor
Submitted on : Sunday, January 17, 2021 - 6:29:44 PM
Last modification on : Saturday, December 4, 2021 - 3:44:00 AM
Long-term archiving on: : Sunday, April 18, 2021 - 6:14:11 PM

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  • HAL Id : hal-03112844, version 1
  • ARXIV : 2101.06960

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Karim Belabas, Bernadette Perrin-Riou. Symboles modulaires surconvergents et fonctions L p-adiques. 2021. ⟨hal-03112844⟩

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