A387065 Decimal expansion of the value of the Riemann zeta function at 2nd extremum (negated).

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

Offset: 0

Author

Artur Jasinski, Aug 15 2025

Keywords

• nonn
• cons
• new

Examples

			-0.00398644166367075043171...
		

Links

• Artur Jasinski, Values of Riemann zeta function at 1000 succesive negative extrema.

Crossrefs

Cf. A271855, A271856, A387052.

Programs

Mathematica

kk = x /. FindRoot[Zeta'[x] == 0, {x, -5}, WorkingPrecision -> 110]; dd =
 RealDigits[Zeta[kk], 10, 105][[1]]; Flatten[Prepend[dd, {0, 0}]]

Formula

Equals zeta(-A387052).