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math.NT2026
CM Elliptic Analogue of the Coleman--Ihara Formula
Yuki Goto, Shun Ishii
The Soulé characters are Kummer characters constructed from cyclotomic units and also arising from the Galois action on the pro- geometric fundamental group of $\mathbb{P}^1\set…
math.NT2024
On factorizations of certain Kummer characters associated to once-punctured elliptic curves with complex multiplication
Shun Ishii, Yuki Goto
In this paper, we study certain Kummer characters, which we call the elliptic Soulé characters, arising from Galois actions on the pro- fundamental groups of once-punctured elli…