@

author = {Richard P. Brent and Fredrik Johansson},}

title = {{A bound for the error term in the Brent-McMillan algorithm}},

language = {english},

abstract = {The Brent-McMillan algorithm B3 (1980), when implemented with binary splitting, is the fastest known algorithm for high-precision computation of Euler's constant. However, no rigorous error bound for the algorithm has ever been published. We provide such a bound and justify the empirical observations of Brent and McMillan. We also give bounds on the error in the asymptotic expansions of functions related to modified Bessel functions.},

number = {1312.0039},

year = {2013},

institution = {arxiv},

length = {10},

url = {http://arxiv.org/abs/1312.0039}