- Heath-Brown–Moroz constant
The Heath-Brown–Moroz constant "C", [cite journal|author=D. R. Heath-Brown | authorlink=Roger Heath-Brown | coauthors=B.Z. Moroz | title=The density of rational points on the cubic surface "X"03="X"1"X"2"X"3 | journal=Mathematical Proceedings of the Cambridge Philosophical Society | volume=125 | number=3 | pages=385–395 | date=1999|doi=10.1017/S0305004198003089] named for
Roger Heath-Brown andBoris Moroz , is defined as:
which equals 0.00131764115....
This constant is part of an
asymptotic estimate for the distribution ofrational point s of bounded height on thecubic surface "X"03="X"1"X"2"X"3. Let "H" be a positive real number and "N"("H") the number of solutions to the equation "X"03="X"1"X"2"X"3 with all the "X""i" non-negative integers less than or equal to "H". Then:.
References
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