In this paper,we study infinite series with summands involving both binomial coefficients and har-monic numbers.After a review of the backgrounds,we pose a lot of new conjectures on series identities.This paper contains 64 conjectural series identities which have been checked numerically via Mathematica.
关键词
级数等式/二项式系数/调和数/超几何级数/Riemann/ζ-函数
Key words
series identities/binomial coefficients/harmonic numbers/hypergeometric series/Riemann ζ-function
维普
万方数据