editing

approved

Steven R. Finch, <a href="/A002193/a002193.pdf">Errata and Addenda to Mathematical Constants</a>, January 22, 2016. [Cached copy, with permission of the author]

approved

editing

Steven R. Finch, <a href="http://www.people.fas.harvardarxiv.edu/~sfinchorg/csolveabs/erradd2001.pdf00578">Errata and Addenda to Mathematical Constants.</a> p. 28.

editing

approved

Steven R. Finch, <a href="/A002193/a002193.pdf">Errata and Addenda to Mathematical Constants</a>, January 22, 2016. [Cached copy, with permission of the author]

approved

editing

reviewed

approved

proposed

reviewed

editing

proposed

allocated Decimal expansion of the supremum of all real s such that zeta'(s+i*t) = 0 for Jean-François Alcoversome real t.

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

1,1

J. Arias de Reyna, J. van de Lune, <a href="http://arxiv.org/abs/1107.5134">Some bounds and limits in the theory of Riemann's zeta function.</a> arXiv:1107.5134 [math.NT]

Steven R. Finch, <a href="http://www.people.fas.harvard.edu/~sfinch/csolve/erradd.pdf">Errata and Addenda to Mathematical Constants.</a> p. 28.

The unique solution y > 1 of the equation zeta'(y)/zeta(y) = -2^(y + 1)*log(2)/(4^y - 1).

2.81301402025289836752725540121668696384614056054026221526643874...

y /. FindRoot[Zeta'[y]/Zeta[y] == -2^(y + 1)*Log[2]/(4^y - 1), {y, 2}, WorkingPrecision -> 100] // RealDigits // First

Cf. A242069.

allocated

nonn,cons,easy

Jean-François Alcover, Aug 14 2014

approved

editing

allocated for Jean-François Alcover

recycled

allocated