Abstract
We compute the p-adic L-functions of evil Eisenstein series using an explicit Eisenstein modular symbol constructed from Shintani cocycles.
Résumé
On calcule la fonction L p-adique attachée à une série d’Eisenstein critique, en se servant d’un symbole modulaire Eisenstein explicite construit à partir de cocycles de Shintani.
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Acknowledgments
The contents of this paper have been adapted from portions of my Ph.D. thesis, which was supervised by Glenn Stevens; it is a great pleasure to thank him for his enormous influence and patient guidance. This paper would not have been possible without his constant encouragement and support. I would also like to thank Matthew Greenberg, Robert Pollack, and Jay Pottharst for many helpful conversations during the writing of this paper. Finally, I would like to thank the anonymous referee for a careful reading and many helpful comments.
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Steele, G.A. The p-adic Shintani modular symbol and evil Eisenstein series. Ann. Math. Québec 40, 491–517 (2016). https://doi.org/10.1007/s40316-015-0055-1
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DOI: https://doi.org/10.1007/s40316-015-0055-1