Ce Xu
Abstract
We develop new closed form representations of sums of (n+?)th shifted harmonic numbers and reciprocal binomial coeffecients through ?th shifted harmonic numbers and Riemann zeta function with positive integer arguments. Some interesting new consequences and illustrative examples are considered.
OpenAlex reports 10 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
We develop new closed form representations of sums of (n+?)th shifted harmonic numbers and reciprocal binomial coeffecients through ?th shifted harmonic numbers and Riemann zeta function with positive integer arguments. Some interesting new consequences and illustrative examples are considered.
Key concepts: Mathematics, Harmonic number, Binomial coefficient, Binomial (polynomial), Reciprocal, Riemann zeta function, Harmonic, Riemann hypothesis