- 著者
- Jianqiang Zhao
- 出版者
- The Mathematical Society of Japan
- 雑誌
- Journal of the Mathematical Society of Japan (ISSN:00255645)
- 巻号頁・発行日
- vol.68, no.4, pp.1669-1694, 2016 (Released:2016-10-27)
- 参考文献数
- 32
- 被引用文献数
- 9
In this paper we present many new families of identities for multiple harmonic sums using binomial coefficients. Some of these generalize a few recent results of Hessami Pilehrood, Hessami Pilehrood and Tauraso [Trans. Amer. Math. Soc. 366 (2014), pp.3131–3159]. As applications we prove several conjectures involving multiple zeta star values (MZSV): the Two-one formula conjectured by Ohno and Zudilin, and a few conjectures of Imatomi et al. involving 2-3-2-1 type MZSV, where the boldfaced 2 means some finite string of 2's.