A class of subsums of Euler’s sum
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Kenneth S. Williams
Abstract
A class of sums of the type
is evaluated, where k, m and r are positive integers with
Acknowledgements
The author thanks the referee for his/her positive comments and suggestions regarding his paper.
References
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Articles in the same Issue
- Frontmatter
- Investigations about the Euler–Mascheroni constant and harmonic numbers
- A class of subsums of Euler’s sum
- Lyapunov type inequalities for second-order differential equations with mixed nonlinearities
- Cyclic refinements of the discrete and integral form of Jensen’s inequality with applications
- Proofs of some conjectures on monotonicity of ratios of Kummer, Gauss and generalized hypergeometric functions
- The time-dependent Stokes problem with Navier slip boundary conditions on Lp-spaces
- Mountain pass solutions for perturbed Hardy–Sobolev equations on compact manifolds
Articles in the same Issue
- Frontmatter
- Investigations about the Euler–Mascheroni constant and harmonic numbers
- A class of subsums of Euler’s sum
- Lyapunov type inequalities for second-order differential equations with mixed nonlinearities
- Cyclic refinements of the discrete and integral form of Jensen’s inequality with applications
- Proofs of some conjectures on monotonicity of ratios of Kummer, Gauss and generalized hypergeometric functions
- The time-dependent Stokes problem with Navier slip boundary conditions on Lp-spaces
- Mountain pass solutions for perturbed Hardy–Sobolev equations on compact manifolds
