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A114866 Decimal expansion of the position of the unique local minimum of the Riemann-Siegel theta function. 4
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, 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, 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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Eric Weisstein's World of Mathematics, Riemann-Siegel Functions

FORMULA

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

EXAMPLE

6.28983598...

MATHEMATICA

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

CROSSREFS

Cf. A114865.

Sequence in context: A085589 A259931 A021163 * A248270 A201324 A107826

Adjacent sequences:  A114863 A114864 A114865 * A114867 A114868 A114869

KEYWORD

nonn,cons

AUTHOR

Eric W. Weisstein, Jan 02 2006

EXTENSIONS

Digits from a(94) on corrected by Jean-François Alcover, Feb 08 2013

STATUS

approved

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Last modified December 15 11:05 EST 2018. Contains 318148 sequences. (Running on oeis4.)