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CM Elliptic Analogue of the Coleman--Ihara Formula
The Soulé characters are Kummer characters constructed from cyclotomic units and also arising from the Galois action on the pro-$p$ geometric fundamental group of $\mathbb{P}^1\setminus\{0,1,\infty\}$. The Coleman--Ihara formula describes the restrictions of these characters to the local Galois grou
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