A new construction of ${p}$-adic $L$-functions attached to certain elliptic curves with complex multiplication

John L. Boxall

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Pierrette Cassou-Noguès (1980)

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Rodney I. Yager (1982)

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$p$ -adic interpolation of special values of Hecke L-functions

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The purpose of this paper is to generalize, to certain commutative formal groups of dimension one and height greater than one defined over the ring of integers of a finite extension of $Q_{p}$ , some results on $p$ -adic interpolation developed by Kubota, Leopoldt, Iwasawa, Mazur, Katz and others notably for the multiplicative group ${\hat{G}}_{m}$ , and which they used to construct $p$ -adic $L$ -functions.

Computation of $p$ -adic heights and log convergence.

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Kubert-lang units and elliptic curves without complex multiplication

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Displaying similar documents to “A new construction of p -adic L -functions attached to certain elliptic curves with complex multiplication”

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