Hypergeometric Zeta Functions
Number Theory
2007-05-23 v1
Abstract
This paper investigates a new family of special functions referred to as hypergeometric zeta functions. Derived from the integral representation of the classical Riemann zeta function, hypergeometric zeta functions exhibit many properties analogous to their classical counterpart, including the intimate connection to Bernoulli numbers. These new properties are treated in detail and are used to demonstrate a functional inequality satisfied by second-order hypergeometric zeta functions.
Cite
@article{arxiv.math/0509637,
title = {Hypergeometric Zeta Functions},
author = {Abdul Hassen and Hieu D. Nguyen},
journal= {arXiv preprint arXiv:math/0509637},
year = {2007}
}
Comments
23 pages, 3 figures, 2 tables