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- W4249449315 abstract "Abstract 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." @default.
- W4249449315 created "2022-05-12" @default.
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- W4249449315 date "2015-09-01" @default.
- W4249449315 modified "2023-09-30" @default.
- W4249449315 title "p-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas" @default.
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- W4249449315 doi "https://doi.org/10.1017/s0027763000027148" @default.
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