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Decimal expansion of zeta(3/2)^(2/3).
1

%I #8 Jul 29 2021 07:00:40

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

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

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

%N Decimal expansion of zeta(3/2)^(2/3).

%C Seiringer derived a constant which arises in the critical temperature of dilute Bose gases, 4*Pi*(rho/(zeta(3/2))^(2/3)).

%H Robert Seiringer and Daniel Ueltschi, <a href="https://arxiv.org/abs/0904.0050">Rigorous upper bound on the critical temperature of dilute Bose gases</a>, [cond-mat.stat-mech], 2009; Phys. Rev. B 80, 014502 (2009).

%F zeta(3/2)^(2/3).

%e 1.89680950814758260283360524303898583517539799367133241....

%t RealDigits[N[Zeta[3/2]^(2/3), 108]][[1]]

%o (PARI) zeta(3/2)^(2/3)

%Y Cf. A078434 (zeta(3/2)).

%K cons,nonn

%O 1,2

%A _Jonathan Vos Post_, Jun 20 2010

%E Edited and a(21) ff. corrected by _Georg Fischer_, Jul 29 2021