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math.NT2024
On a closed formula for a log-sine integral
J. S. Dowker
Making use of an 1847 result of Newman, a (known) closed formula for a log-sine integral is rapidly obtained in terms of Riemann Zeta and Clausen functions.
math.NT2015
Computation of the derivative of the Hurwitz zeta-function and the higher Kinkelin constants
J. S. Dowker
I use the numerical values of the generalised Glaisher-Kinkelin-Bendersky (GKB) constants to give numerical values for the derivatives of the Hurwitz zeta function at negative inte…