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math.NT2015★ 2 cited
On generalized harmonic numbers, Tornheim double series and linear Euler sums
Kunle Adegoke
Direct links between generalized harmonic numbers, linear Euler sums and Tornheim double series are established in a more perspicuous manner than is found in existing literature. W…
math.NT2015
New Finite and Infinite Summation Identities Involving the Generalized Harmonic Numbers
Kunle Adegoke, Olawanle Layeni
We state and prove a general summation identity. The identity is then applied to derive various summation formulas involving the generalized harmonic numbers and related quantities…