논문KCI 등재
Explicit evaluations of special multiple zeta values, $\zeta (\{4l+2 \}_n)$ and $\zeta (\{ 4l\}_n)$
대한수학회 (The Korean Mathematical Society)|2005.04|대한수학회논문집 (Communications of the KMS)|제20권 제2호|pp. 247-257
0
조회
0
다운로드
0
인용
0
참고문헌
주제분류수학
초록
Abstract
In this paper we calculate two special types of multiple zeta values, ³(f4l + 2gn) and ³(f4lgn) using the primitive roots of unity, which may be simpler and easier.
참고문헌 (4)
- "Evaluation of k-fold Eu-ler", Zagaier sums a compendium of results for arbitrary k, 1997, pp.4, 2~21
- "Applications of a Recurrence for the Bernoulli numbers", 52, pp.157~172 (1995)
- "A generalization of the duality and sum formulas on the multiplezeta values", 74, pp.39~43 (1999)
- "Values of zeta functions and their applications", 120, pp.497~512 (1994)
관련 논문AI추천
On a $t$-stuffle product formula for interpolated multiple zeta valuesNita Tamang, Pitu Sarkar대한수학회 · 대한수학회지2026 · 제63권 제1호Duality of weighted sum formulas of alternating multiple $T$-valuesCe Xu대한수학회 · 대한수학회보2021 · 제58권 제5호An algebraic approach to some results on interpolated multiple zeta valuesBishal Tamang, Nita Tamang대한수학회 · 대한수학회논문집2025 · 제40권 제2호Evaluations of some quadratic Euler sumsCe Xu, Xin Si대한수학회 · 대한수학회보2020 · 제57권 제2호Some results on parametric Euler sumsCe Xu대한수학회 · 대한수학회보2017 · 제54권 제4호Parametric Euler Sums of Harmonic NumbersCe Xu, Junjie Quan, Xiaoxue Wei, Xiyu Wang대한수학회 · 대한수학회보2024 · 제61권 제4호
이 간행물의 다른 논문 (18건)
양의 단면 곡률을 가지는 컴팩트 공간에 대하여고관석pp. 195-207On tor-torsion theoriesM. Golriz, M. H. Bijanzadehpp. 209-219On direct sums in bounded BCK-algebrasYisheng Huangpp. 221-229The mass formula of orders over a dyadic local field전성태, 김인숙pp. 231-238On the genus of certain Drinfeld modular curves김창헌, Daeyeol Jeonpp. 239-246