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On the de Rham and p-adic realizations o...

Bannai, Kenichi...

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On the de Rham and p-adic realizations of the Elliptic Polylogarithm for CM elliptic curves by Bannai, Kenichi ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	12-11-2007
Summary	In this paper, we give an explicit description of the de Rham and p-adic polylogarithms for elliptic curves using the Kronecker theta function. We prove in particular that when the elliptic curve has complex multiplication and good reduction at p, then the specializations to torsion points of the p-adic elliptic polylogarithm are related to p-adic Eisenstein-Kronecker numbers, proving a p-adic analogue of the result of Beilinson and Levin expressing the complex elliptic polylogarithm in terms of Eisenstein-Kronecker-Lerch series. Our result is valid even if the elliptic curve has supersingular reduction at p.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	https://arxiv.org/abs/0711.1701

Citation

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AMA 11th EditionReferences

Bannai, Kenichi. On the de Rham and p-adic realizations of the Elliptic Polylogarithm for CM elliptic curves. N.A. November 12, 2007. Accessed October 02, 2025. https://online.provdatabase.com/cite/15482

APA 7th EditionReferences

Bannai, Kenichi. (2007). On the de Rham and p-adic realizations of the Elliptic Polylogarithm for CM elliptic curves. N.A. https://online.provdatabase.com/cite/15482

Chicago 17th EditionReferences

Bannai, Kenichi. On the de Rham and p-adic realizations of the Elliptic Polylogarithm for CM elliptic curves. N.A. 2007. https://online.provdatabase.com/cite/15482

HarvardReferences

Bannai, Kenichi. (2007). On the de Rham and p-adic realizations of the Elliptic Polylogarithm for CM elliptic curves. [Online]. N.A. Available from: https://online.provdatabase.com/cite/15482. (Accessed 02 October 2025).

Harvard AustraliaReferences

Bannai, Kenichi, 2007, On the de Rham and p-adic realizations of the Elliptic Polylogarithm for CM elliptic curves, N.A, viewed 02 October 2025, <https://online.provdatabase.com/cite/15482>

MLA 9th EditionWorks Cited

Bannai, Kenichi. On the de Rham and p-adic realizations of the Elliptic Polylogarithm for CM elliptic curves. N.A, 2007. PROV Database, https://online.provdatabase.com/cite/15482.

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