Double Integrals for Euler's Constant and ln(4/Pi) and an Analog of Hadjicostas's Formula
Jonathan Sondow
Abstract
We give analogs for Euler's constant and ln(4/Pi) of the well-known double integrals for zeta(2) and zeta(3). We also give a series for ln(4/Pi) which reveals it to be an "alternating Euler constant."
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