"Coleman-Ihara formula"의 두 판 사이의 차이
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* In this paper, we show an analogous formula that ℓ-adic polylogarithmic characters for ℓ=p restrict to the Coates-Wiles homomorphism | * 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. | multiplied by Coleman's p-adic polylogarithms at any roots of unity of order prime to p. | ||
| − | * Chatzistamatiou, Andre. “On Integrality of | + | * Chatzistamatiou, Andre. “On Integrality of <math>p</math>-Adic Iterated Integrals.” arXiv:1501.05760 [math], January 23, 2015. http://arxiv.org/abs/1501.05760. |
* 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. | * 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. | ||
2020년 11월 16일 (월) 10:00 기준 최신판
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.
- Chatzistamatiou, Andre. “On Integrality of \(p\)-Adic Iterated Integrals.” arXiv:1501.05760 [math], January 23, 2015. http://arxiv.org/abs/1501.05760.
- 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.