Double Integrals for Euler's Constant and ln(4/Pi) and an Analog of Hadjicostas's Formula

Details Double Integrals for Euler's Constant and ln(4/Pi) and an Analog of Hadjicostas's Formula Double Integrals for Euler's Constant and ln(4/Pi) and an Analog of Hadjicostas's Formula

2002-11-08

arxiv.org/abs/math/0211148v3

Amer. Math. Monthly 112 (2005) 61-65

Mathematics

Classical Analysis and ODEs

Changed the title and added an analog for the alternating zeta function of Hadjicostas's double integral for the Riemann zeta

Scientific paper

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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