A Simple Observation on Decomposition of Multiple Zeta Values
Tóm tắt
A decomposition of Multiple Zeta Values has been derived in terms of Riemann Zeta Values, thereby obtaining a formula of Multiple Zeta Values given by T. Arakawa and M. Kaneko. Further, using the decomposition formula, some of the identities arising from Multiple Zeta Values have been reestablished in a larger domain.
Tài liệu tham khảo
T. Arakawa and M. Kaneko, Introduction to multiple zeta values, lecture note (in Japanese), http://www2.math.kyushu-u.ac.jp/∼mkaneko/papers/MZ_LectureNotes.pdf.
Philippe Flajolet and Bruno Salvy, Euler sums and contour integral representations, Experimental Mathematics, 7(1) (1998), 15–35.
J. Meher and S. B. Sinha, Some infinite sums identities, Czechoslovak Mathematical Journal, 65(140) (2015), 819–827.
M. R. Murty and K. Sinha, Multiple Hurwitz Zeta Functions. Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory (S. Friedberg et al., eds.). Proceedings of the Bretton Woods workshop on multiple Dirichlet series, Bretton Woods, USA, 2005, Proc. Sympos. Pure Math., 75, American Mathematical Society, Providence, 2006, pp. 135156.