The limiting density of pairs with f(a,b)=1 is ∏_p (1 - 1/(p²(p+1))) ≈ 0.88151, matching the quadratic class number constant.
(1976) Introduction to Analytic Number Theory, Undergraduate Texts in Mathematics, Springer
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On the Limiting Density of a gcd Map
The limiting density of pairs with f(a,b)=1 is ∏_p (1 - 1/(p²(p+1))) ≈ 0.88151, matching the quadratic class number constant.