Coleman-Ihara formula
imported>Pythagoras0님의 2014년 10월 6일 (월) 23:00 판 (새 문서: ==introduction== * The Coleman-Ihara formula expresses Soule's p-adic characters restricted to p-local Galois group as the Coates-Wiles homomorphism multiplied by p-adic L-values at p...)
introduction
- The Coleman-Ihara formula expresses Soule's p-adic characters restricted to p-local Galois group as the Coates-Wiles homomorphism multiplied by p-adic L-values at positive integers.
- In this paper, we show an analogous formula that ℓ-adic polylogarithmic characters for ℓ=p restrict to the Coates-Wiles homomorphism
multiplied by Coleman's p-adic polylogarithms at any roots of unity of order prime to p.
- Nakamura, Hiroaki, Kenji Sakugawa, and Zdzislaw Wojtkowiak. “Polylogarithmic Analogue of the Coleman-Ihara Formula, I.” arXiv:1410.1045 [math], October 4, 2014. http://arxiv.org/abs/1410.1045.