“Heath-Brown–Moroz constant”的意思、由来-开放百科全书

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Heath-Brown–Moroz constant

释义

Application
External links
References

The Heath-Brown–Moroz constant C,^[1] named for Roger Heath-Brown and Boris Moroz, is defined as

where p runs over the primes.

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 X_i non-negative integers less than or equal to H and their greatest common divisor equal to 1. Then

External links

Wolfram Mathworld's article

References

1. ^{{cite journal|author=D. R. Heath-Brown | authorlink=Roger Heath-Brown |author2=B.Z. Moroz | title=The density of rational points on the cubic surface X₀³=X₁X₂X₃ | journal=Mathematical Proceedings of the Cambridge Philosophical Society | volume=125 | pages=385–395 | year=1999|doi=10.1017/S0305004198003089 | issue=3}}

1 : Mathematical constants

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