The difference between two Stieltjes constants
arXiv:0906.0277
Abstract
The Stieltjes constants are the coefficients of the Laurent expansion of the Hurwitz zeta function and surprisingly little is known about them. In this paper we derive some relations for the difference between two Stieltjes constants together with various other relationships.
References in corpus (9)
- Contributions to the Theory of the Barnes Function
- Some series and integrals involving the Riemann zeta function, binomial coefficients and the harmonic numbers. Volume I
- A Set of Identities for a Class of Alternating Binomial Sums Arising in Computing Applications
- Some applications of the Stieltjes constants
- New proofs of the duplication and multiplication formulae for the gamma and the Barnes double gamma functions
- Euler-Hurwitz series and non-linear Euler sums
- Polygamma theory, the Li/Keiper constants, and validity of the Riemann Hypothesis
- A recurrence relation for the Li/Keiper constants in terms of the Stieltjes constants
- On representations and differences of Stieltjes coefficients, and other relations