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A251734 Decimal expansion of the absolute value of zeta(1/3). 1

%I #15 Mar 19 2024 08:02:40

%S 9,7,3,3,6,0,2,4,8,3,5,0,7,8,2,7,1,5,4,6,8,8,8,6,8,6,2,4,4,7,8,9,6,5,

%T 7,0,7,7,2,8,2,9,6,3,1,7,4,3,0,5,3,3,3,9,9,4,5,3,5,8,1,4,4,6,2,1,0,8,

%U 5,1,8,2,8,1,3,3,9

%N Decimal expansion of the absolute value of zeta(1/3).

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Riemann_zeta_function">Riemann Zeta Function</a>.

%H <a href="/wiki/Index_to_constants#Start_of_section_Z">Index entries for constants related to Zeta</a>

%F Lim_{k->infinity} (3/2*k^(2/3) - Sum_{i=1..k} i^(-1/3)). - _Jinyuan Wang_, Jun 20 2020

%e zeta(1/3) = -0.97336024835078271546888....

%p Zeta(1/3) ; evalf(%) ;

%t RealDigits[Zeta[1/3], 10, 120][[1]] (* _Amiram Eldar_, May 31 2023 *)

%o (PARI) -zeta(1/3) \\ _Jinyuan Wang_, Jun 20 2020

%Y Cf. A002117, A013661, A059750.

%K nonn,cons

%O 0,1

%A _R. J. Mathar_, Dec 07 2014

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)