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Revision History for A344125 (Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A344125 Decimal expansion of Sum_{i > 0} 1/A001481(i)^4.
(history; published version)
#33 by Hugo Pfoertner at Wed Aug 25 12:53:57 EDT 2021
STATUS

proposed

approved

#32 by Michel Marcus at Wed Aug 25 12:08:48 EDT 2021
STATUS

editing

proposed

#31 by Michel Marcus at Wed Aug 25 12:08:32 EDT 2021
LINKS

R. J. Mathar, <a href="http://arxiv.org/abs/1008.2547">Table of Dirichlet L-series and Prime Zeta Modulo Functions for Small Moduli</a>, arXiv:1008.2547 [math.NT]], ], 2010-2015.

STATUS

approved

editing

#30 by Susanna Cuyler at Sat Aug 14 18:55:41 EDT 2021
STATUS

proposed

approved

#29 by Jon E. Schoenfield at Sat Aug 14 17:17:13 EDT 2021
STATUS

editing

proposed

#28 by Jon E. Schoenfield at Sat Aug 14 17:17:11 EDT 2021
FORMULA

Equals zeta_{2,0} (4) * zeta_{4,1} (4) * zeta_{4,3} (8), where zeta_{2,0} (s) = ) = 2^s/(2^s - 1).

STATUS

approved

editing

#27 by N. J. A. Sloane at Mon Jun 07 09:17:58 EDT 2021
STATUS

editing

approved

#26 by N. J. A. Sloane at Mon Jun 07 09:17:54 EDT 2021
COMMENTS

This constant can be considered as an equivalentanalog of zeta(4) (= Pi^4/90 = A013662), where Euler's zeta(4) is over all positive integers, with prime elements in A000040, while this constant is over all positive integers that can be written as the sum of two squares (A001481) with prime elements given in A055025.

STATUS

proposed

editing

#25 by A.H.M. Smeets at Mon Jun 07 06:50:58 EDT 2021
STATUS

editing

proposed

#24 by A.H.M. Smeets at Mon Jun 07 06:50:29 EDT 2021
COMMENTS

This constant can be considered as an equivalent of zeta(4) (= Pi^4/90 = A013662), where Euler's zeta(4) is over all positive integers, with prime elements in A000040, while this constant is over all positive integers that can be written as the sum of two squares (A001481) with prime elements given in A055025.

STATUS

proposed

editing

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Last modified August 29 09:16 EDT 2024. Contains 375511 sequences. (Running on oeis4.)