19/03/20 22:21:00.16 PH/cp/6U.net
>>597
とりあえず、貼るよ（＾＾
URLﾘﾝｸ(citeseerx.ist.psu.edu)
Criteria For Irrationality Of Euler's Constant (0)
AUTHOR NAME Jonathan Sondow
Proc. Amer. Math. Soc VOLUME 131 2003 PAGES 3335--3344
URLﾘﾝｸ(arxiv.org)
we prove the following necessary and sufficient conditions
for rationality of γ .
(Of course, their negations are then criteria for irrationality of γ .)
Rationality Criteria for γ . The following are equivalent:
(a) The fractional part of log Sn is given by {log Sn} = d2nIn for some n.
(b) The formula holds for all sufficiently large n.
(c) Euler's constant is a rational number.