id:A085993 - OEIS Search Results

Search: id:A085993

Displaying 1-1 of 1 results found.

page 1

Decimal expansion of the Riemann zeta prime modulo function at 4 for primes of the form 4k+3.

+0
6

0, 1, 2, 8, 4, 3, 5, 5, 5, 6, 1, 0, 2, 1, 7, 5, 5, 3, 3, 4, 3, 6, 2, 2, 5, 3, 4, 6, 1, 9, 5, 1, 9, 0, 1, 8, 3, 3, 4, 5, 5, 3, 1, 4, 9, 7, 7, 1, 0, 0, 8, 4, 5, 8, 1, 1, 7, 1, 2, 6, 4, 8, 3, 0, 2, 0, 4, 1, 6, 0, 7, 2, 9, 6, 9, 6, 8, 6, 4, 1, 7, 5, 7, 3, 5, 3, 1, 2, 7, 8, 6, 9, 8, 1, 7, 3, 2, 5, 3, 0, 7, 8, 0, 9, 9 (list; cons; graph; listen)

	OFFSET	`0,3`
	LINKS	`P. Flajolet and I. Vardi, Zeta Function Expansions of Classical Constants, Unpublished manuscript. 1996.` `X. Gourdon and P. Sebah, Some Constants from Number theory.`
	FORMULA	`Zeta_R(4) = Sum_{r prime=3 mod 4} 1/r^4 = (1/2)Sum_{n=0..inf} mobius(2n+1)log(b((2n+1)4))/(2n+1), where b(x)=(1-2^(-x))*zeta(x)/L(x) and L(x) is the Dirichlet Beta function.`
	EXAMPLE	`0.0128435556102175...`
	CROSSREFS	`Cf. A085991, A085992.` `Sequence in context: A152626 A093823 A088154 this_sequence A010595 A109594 A086311` `Adjacent sequences: A085990 A085991 A085992 this_sequence A085994 A085995 A085996`
	KEYWORD	`cons,nonn`
	AUTHOR	`Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Jul 06 2003`

page 1

Search completed in 0.002 seconds

Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

AT&T Labs Research