Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4648856 | Discrete Mathematics | 2010 | 9 Pages |
Abstract
Dixon’s classical summation theorem on F23(1)-series is reformulated as an equation of formal power series in an appropriate variable xx. Then by extracting the coefficients of xmxm, we establish a general formula involving harmonic numbers and the Riemann zeta function. Several interesting identities are exemplified as consequences, including one of the hardest challenging identities conjectured by Weideman (2003).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Xiaojing Chen, Wenchang Chu,