OFFSET
-1,1
COMMENTS
This constant appears in an asymptotic formula proved by Linnik in 1960 in an additive problem of Hardy-Littlewood (see Formula 1 in Dimitrov and Formula 0.3 in Linnik).
LINKS
Stoyan I. Dimitrov, The ternary Piatetski-Shapiro inequality with one prime of the form p = x^2 + y^2 + 1, arXiv:2011.03967 [math.NT], 2020.
Juriĭ Vladimirovič Linnik, An asymptotic formula in an additive problem of Hardy-Littlewood, Izv. Akad. Nauk SSSR Ser. Mat., 24 (1960), 629-706 (in Russian).
EXAMPLE
0.02895765365906997252446022076864966632568373588631465...
MATHEMATICA
First[RealDigits[N[(2-E*Log[2])/4, 87]]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Stefano Spezia, Jan 21 2021
STATUS
approved