Search: id:A058303
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%I A058303
%S A058303 1,4,1,3,4,7,2,5,1,4,1,7,3,4,6,9,3,7,9,0,4,5,7,2,5,1,9,8,3,5,6,2,4,7,0,
%T A058303 2,7,0,7,8,4,2,5,7,1,1,5,6,9,9,2,4,3,1,7,5,6,8,5,5,6,7,4,6,0,1,4,9,9,6,
%U A058303 3,4,2,9,8,0,9,2,5,6,7,6,4,9,4,9,0,1,0,3,9,3,1,7,1,5,6,1,0,1,2,7,7,9,2
%N A058303 Decimal expansion of imaginary part of first nontrivial zero of Riemann 
               zeta function.
%C A058303 "The Riemann Hypothesis, considered by many to be the most important 
               unsolved problem of mathematics, is the assertion that all of Zeta's 
               nontrivial zeros line up with the first two all of which lie on the 
               line 1/2 + sqrt(-1)*t, which is called the critical line. It is known 
               that the hypothesis is obeyed for the first 1.5 * 10^9 zeros." (Wagon)
%D A058303 S. Wagon, "Mathematica In Action," W.H. Freeman and Company, NY, 1991, 
               page 361.
%H A058303 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               RiemannZetaFunctionZeros.html">Riemann Zeta Function Zeros</a>
%H A058303 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               Xi-Function.html">Xi-Function</a>
%F A058303 Zeta(1/2 + i*14.1347251417346937904572519836...) = 0
%e A058303 14.1347251417346937904572519835624702707842571156992...
%t A058303 FindRoot[ Zeta[1/2 + I*t], {t, 14 + {-.3, +.3}}, AccuracyGoal -> 100, 
               WorkingPrecision -> 120]
%Y A058303 Cf. A013629, A057641, A057640, A058209, A058210.
%Y A058303 Sequence in context: A084118 A046071 A078147 this_sequence A090724 A134224 
               A121441
%Y A058303 Adjacent sequences: A058300 A058301 A058302 this_sequence A058304 A058305 
               A058306
%K A058303 nonn,cons,easy
%O A058303 2,2
%A A058303 Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 08 2000

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