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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한수학회 대한수학회보 대한수학회보 제58권 제5호
- 발행연도
- 2021.9
- 수록면
- 1,261 - 1,278 (18page)
- DOI
- 10.4134/BKMS.b200933
이용수
초록· 키워드
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Recently, a new kind of multiple zeta value of level two $T({\bf k})$ (which is called multiple $T$-value) was introduced and studied by Kaneko and Tsumura. In this paper, we define a kind of alternating version of multiple $T$-values, and study several duality formulas of weighted sum formulas about alternating multiple $T$-values by using the methods of iterated integral representations and series representations. Some special values of alternating multiple $T$-values can also be obtained.
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참고문헌 (24)
참고문헌 신청
H. Gangl / 2006 / Automorphic forms and zeta functions / World Sci. Publ :71~106
M. Genˇcev / 2016 / On restricted sum formulas for multiple zeta values with even arguments / Arch. Math 107:9~22
A. Granville / 1997 / Analytic number theory / Cambridge Univ. Press :95~101
Li Guo / 2015 / Families of weighted sum formulas for multiple zeta values / International Journal of Number Theory 11(03):997~1025
M. E. Hoffman / 1992 / Multiple harmonic series / Pacific J. Math 152(2):275~290
M. Genˇcev / 2016 / On restricted sum formulas for multiple zeta values with even arguments / Arch. Math 107:9~22
A. Granville / 1997 / Analytic number theory / Cambridge Univ. Press :95~101
Li Guo / 2015 / Families of weighted sum formulas for multiple zeta values / International Journal of Number Theory 11(03):997~1025
M. E. Hoffman / 1992 / Multiple harmonic series / Pacific J. Math 152(2):275~290
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