%I #19 Aug 15 2015 09:52:35

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

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

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

%N Decimal expansion of the position of the unique local minimum of the Riemann-Siegel theta function.

%H Vincenzo Librandi, <a href="/A114866/b114866.txt">Table of n, a(n) for n = 1..1000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Riemann-SiegelFunctions.html">Riemann-Siegel Functions</a>

%F Also the first positive solution to zeta(1/2+i*t)*zeta'(1/2-i*t) + zeta(1/2-i*t)*zeta'(1/2+i*t) = 0. - _Jean-François Alcover_, Mar 10 2014

%e 6.28983598...

%t t0 = t /. FindRoot[ RiemannSiegelTheta'[t] == 0, {t, 6}, WorkingPrecision -> 110]; RealDigits[t0, 10, 102] // First (* _Jean-François Alcover_, Feb 08 2013 *)

%Y Cf. A114865.

%K nonn,cons

%O 1,1

%A _Eric W. Weisstein_, Jan 02 2006

%E Digits from a(94) on corrected by _Jean-François Alcover_, Feb 08 2013