클링겐-지겔 (Klingen-Siegel) 정리
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개요
- F : totally real 수체
- \([F: \mathbb{Q}]=n\)
- \(m>0\)일 때, 다음을 만족하는 적당한 유리수 \(r(m)\in \mathbb{Q}\)가 존재한다
\[\zeta_{F}(2m)=r(m)\frac{\pi^{2mn}}{\sqrt{|d_{F}|}}\]
수학용어번역
관련논문
- Beilinson, Alexander, Guido Kings, and Andrey Levin. ‘Topological Polylogarithms and \(p\)-Adic Interpolation of \(L\)-Values of Totally Real Fields’. arXiv:1410.4741 [math], 17 October 2014. http://arxiv.org/abs/1410.4741.
- Nori, Madhav V. "Some Eisenstein cohomology classes for the integral unimodular group." Proceedings of the International Congress of Mathematicians. Vol. 1. 1995. http://www.mathunion.org/ICM/ICM1994.1/Main/icm1994.1.0690.0696.ocr.pdf
- Sczech, Robert. ‘Eisenstein Group Cocycles for GL N and Values ofL-Functions’. Inventiones Mathematicae 113, no. 1 (1 December 1993): 581–616. doi:10.1007/BF01244319.