p-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas

Kenichi Bannai, Hidekazu Furusho, Shinichi Kobayashi

研究成果: Article

抜粋

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 OK 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.

元の言語English
ページ(範囲)269-302
ページ数34
ジャーナルNagoya Mathematical Journal
219
発行部数1
DOI
出版物ステータスPublished - 2015

    フィンガープリント

ASJC Scopus subject areas

  • Mathematics(all)

これを引用