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p-adic Eisenstein-Kronecker series for C...

Bannai, Kenichi...

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p-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas by Bannai, Kenichi ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	11-01-2016
Summary	Consider an elliptic curve defined over an imaginary quadratic field K with good reduction at the primes above p ≥ 5 and with complex multiplication by the full ring of integers of K. In this paper, we construct p-adic analogues of the Eisenstein-Kronecker series for such an elliptic curve as Coleman functions on the elliptic curve. We then prove p-adic analogues of the first and second Kronecker limit formulas by using the distribution relation of the Kronecker theta function.
ISBN	-
Item Type	Article
File Type	pdf
File Size	38.10 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://doi.org/10.1215/00277630-2891995

Citation

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AMA 11th EditionReferences

Bannai, Kenichi. p-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas. N.A. January 11, 2016. Accessed November 01, 2024. https://online.provdatabase.com/cite/2058

APA 7th EditionReferences

Bannai, Kenichi. (2016). p-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas. N.A. https://online.provdatabase.com/cite/2058

Chicago 17th EditionReferences

Bannai, Kenichi. p-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas. N.A. 2016. https://online.provdatabase.com/cite/2058

HarvardReferences

Bannai, Kenichi. (2016). p-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas. [Online]. N.A. Available from: https://online.provdatabase.com/cite/2058. (Accessed 01 November 2024).

Harvard AustraliaReferences

Bannai, Kenichi, 2016, p-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas, N.A, viewed 01 November 2024, <https://online.provdatabase.com/cite/2058>

MLA 9th EditionWorks Cited

Bannai, Kenichi. p-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas. N.A, 2016. PROV Database, https://online.provdatabase.com/cite/2058.

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