Heath-Brown–Moroz constant
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The Heath-Brown–Moroz constant C, named for Roger Heath-Brown and , is defined as
where p runs over the primes.[1][2]
Application[]
This constant is part of an asymptotic estimate for the distribution of rational points of bounded height on the cubic surface X03=X1X2X3. Let H be a positive real number and N(H) the number of solutions to the equation X03=X1X2X3 with all the Xi non-negative integers less than or equal to H and their greatest common divisor equal to 1. Then
References[]
- ^ D. R. Heath-Brown; B.Z. Moroz (1999). "The density of rational points on the cubic surface X03=X1X2X3". Mathematical Proceedings of the Cambridge Philosophical Society. 125 (3): 385–395. doi:10.1017/S0305004198003089.
- ^ Finch, S. R (2003). Mathematical Constants. Cambridge, England: Cambridge University Press.
External links[]
Categories:
- Mathematical constants
- Infinite products
- Number theory stubs
- Number stubs