A179311 Decimal expansion of the real part of zeta(i), where i = sqrt(-1).

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

Offset: 0

Author

Alonso del Arte, Jan 07 2011

Keywords

• nonn
• cons

Comments

With zeta being the Riemann zeta function. Also the real part of zeta(-i). Bhatt's documentation for MathTools incorrectly identifies this constant as the real part of zeta(1 - i) (however the other example zeta values given are correct).

Examples

			zeta(i) = 0.00330022 - 0.41815545i (to eight decimal places on both parts).
		

Links

• Bhuvanesh Bhatt, Documentation for MathTools, p. 32.

Crossrefs

Cf. A179836 (imaginary part).

Programs

Mathematica

RealDigits[N[Re[Zeta[I]], 75]][[1]]

PARI

real(zeta(I)) \\ Michel Marcus, Jun 14 2019