Tohoku Mathematical Journal
2014
September
SECOND SERIES VOL. 66, NO. 3

Tohoku Math. J.
66 (2014), 309-320

Title A GENERALIZATION OF THE THEORY OF COLEMAN POWER SERIES

Author Kazuto Ota

(Received March 30, 2012, revised May 7, 2013)
Abstract. Shinichi Kobayashi found a generalization of the Coleman power series theory to formal groups of elliptic curves and applied it to a study of $p$-adic height pairings. In this paper, we generalize his theory of Coleman power series to general formal groups.

Mathematics Subject Classification. Primary 14L05; Secondary 11S31, 11E95, 13F25.
Key words and phrases. Coleman power series, formal group, Dieudonné module.

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