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math.CA2007
The values of an Euler sum at negative integers and relation to a convolution of Bernoulli numbers
Khristo N. Boyadzhiev, H. Gopalkrishna Gadiyar, R. Padma
We study a special Dirichlet series studied before by Apostol and Matsuoka and specify its values at negative integers. These values are related to a certain convolution of Bernoul…
math.CA2007★ 53 cited
Apostol-Bernoulli functions, derivative polynomials and Eulerian polynomials
Khristo N. Boyadzhiev
This is a short survey of a class of functions introduces by Tom Apostol. The survey is focused on their relation to Eulerian polynomials, derivative polynomials, and also on some…