The Heath-Brown–Moroz constant C, named for Roger Heath-Brown and Boris Moroz, is defined as
Application edit
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 edit
- ^ 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. Bibcode:1999MPCPS.125..385H. doi:10.1017/S0305004198003089. S2CID 59947536.
- ^ Finch, S. R (2003). Mathematical Constants. Cambridge, England: Cambridge University Press.
External links edit