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p-adic Eisenstein-Kronecker series for C...
Bannai, Kenichi...
p-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas by Bannai, Kenichi ( Author )
N.A
11-01-2016
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.
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Article
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38.10 KB
English
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MYR 0.01
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https://doi.org/10.1215/00277630-2891995
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