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Decimal expansion of the Riemann zeta prime modulo function at 7 for primes of the form 4k+3.

+0
3

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

	OFFSET	`0,4`
	LINKS	`P. Flajolet and I. Vardi, Zeta Function Expansions of Classical Constants, Unpublished manuscript. 1996.` `X. Gourdon and P. Sebah, Some Constants from Number theory.`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(7) = Sum_{r prime=3 mod 4} 1/r^7 = (1/2)Sum_{n=0..inf} mobius(2n+1)log(b((2n+1)7))/(2n+1), where b(x)=(1-2^(-x))*zeta(x)/L(x) and L(x) is the Dirichlet Beta function.`
	EXAMPLE	`0.0004585144075337...`
	CROSSREFS	`Cf. A085991, A085992, A085993, A085994, A085995.` `Sequence in context: A155921 A016721 A089959 this_sequence A020804 A021222 A132023` `Adjacent sequences: A085993 A085994 A085995 this_sequence A085997 A085998 A085999`
	KEYWORD	`cons,nonn`
	AUTHOR	`Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Jul 06 2003`

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.

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