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A085508 Decimal expansion of conjectured value for the Bloch constant. 0

%I #11 Jun 17 2021 04:35:51

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

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

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

%N Decimal expansion of conjectured value for the Bloch constant.

%C Named after the French mathematician André Bloch (1893-1948). - _Amiram Eldar_, Jun 17 2021

%D Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, section 7.1, pp. 456-459.

%H L. V. Alfors and H. Grunsky, <a href="http://resolver.sub.uni-goettingen.de/purl?GDZPPN002377454">Über die Blochsche Konstante</a>, Mathematische Zeitschrift, Vol. 30, No. 1 (1929), pp. 608-634.

%H Michèle Audin, <a href="http://images.math.cnrs.fr/Mathematiques-en-asile-d-alienes.html">Mathématiques en asile d’aliénés</a>, Images des Mathématiques, CNRS, 2014.

%H André Bloch, <a href="http://www.numdam.org/item?id=AFST_1925_3_17__1_0">Les théorèmes de M. Valiron sur les fonctions entières et la théorie de l'uniformisation</a>, Annales de la faculté des sciences de Toulouse, Sér. 3, Vol. 17 (1925), pp. 1-22.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BlochConstant.html">Bloch Constant</a>.

%e 0.47186165345268178487446879361131614907701262173944...

%t RealDigits[Gamma[1/3]*Gamma[11/12]/(Sqrt[1 + Sqrt[3]]*Gamma[1/4]), 10, 100][[1]]

%K nonn,cons

%O 0,1

%A _Eric W. Weisstein_, Jul 02 2003

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