The quadratic class number constant is a constant related to the average behavior of class numbers of real quadratic fields. It is given by
 |  | ![product_(p)[1-1/(p^2(p+1))]](/images/equations/QuadraticClassNumberConstant/Inline3.svg) |
(1)
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 |  |  |
(2)
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(OEIS A065465), where the product is over the primes 
.
Quadratic Class Number Constant
See also
Artin's Constant, Barban's Constant, Feller-Tornier Constant, Heath-Brown-Moroz Constant, Murata's Constant, Prime Products, Sarnak's Constant, Taniguchi's Constant, Twin Primes ConstantExplore with Wolfram|Alpha
References
Cohen, H. A Course in Computational Algebraic Number Theory. New York:Springer-Verlag, p. 291, 1993.Finch, S. R. Mathematical Constants. Cambridge, England: Cambridge University Press, p. 107, 2003.Niklasch, G. "Some Number-Theoretical Constants." http://www.gn-50uma.de/alula/essays/Moree/Moree.en.shtml.Sloane, N. J. A. Sequence A065465 in "The On-Line Encyclopedia of Integer Sequences."Referenced on Wolfram|Alpha
Quadratic Class Number ConstantCite this as:
Weisstein, Eric W. "Quadratic Class Number Constant." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/QuadraticClassNumberConstant.html