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Hall-Montgomery Constant

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The Hall-Montgomery constant is related to the multiplicative spectrum of completely multiplicative functions and has closed form

delta_0=1-1/6pi^2-ln(1+sqrt(e))ln(e/(1+sqrt(e)))+2Li_2(1/(1+sqrt(e)))
(1)
=1+1/6pi^2+2Li_2(-sqrt(e))
(2)
=0.17150049...
(3)

(OEIS A143301).

See also

Completely Multiplicative Function

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References

Finch, S. R. "Hall-Montgomery Constant." §2.33 in Mathematical Constants. Cambridge, England: Cambridge University Press, pp. 205-207, 2003.Sloane, N. J. A. Sequence A143301 in "The On-Line Encyclopedia of Integer Sequences."

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Hall-Montgomery Constant

Cite this as:

Weisstein, Eric W. "Hall-Montgomery Constant." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Hall-MontgomeryConstant.html

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