A mathematics notebook

Tagged: logarithmic-integrals

Notes on integrals, infinite series, and number theory.

Sun 05 July 2020Euler Sums and Infinite Series

An alternating Euler Sum

An alternating Euler sum leads to harmonic-number generating functions, logarithmic integrals, and polylogarithms.

Mon 01 June 2020Logarithmic Integrals

Derive Kummer's Fourier series for the logarithm of the gamma function, then use it to evaluate Vardi's integral.