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pro vyhledávání: '"Heath Brown"'
Autor:
Heath Brown
Publikováno v:
Journal of Social Equity and Public Administration, Vol 2, Iss 1, Pp 116-126 (2024)
The public policy process in the United States has strong status quo biases that frustrate efforts to adopt policies focused on racial justice and social equity. On occasion, a policy window opens and the chance for real change increases greatly. Thi
Externí odkaz:
https://doaj.org/article/1e82b8a511544a2da939f23d5f63399c
Autor:
Heath-Brown, D. R.
We improve the standard Weyl estimate for quartic exponential sums in which the argument is a quadratic irrational. Specifically we show that \[\sum_{n\le N} e(\alpha n^4)\ll_{\ep,\alpha}N^{5/6+\ep}\] for any $\ep>0$ and any quadratic irrational $\al
Externí odkaz:
http://arxiv.org/abs/2312.14531
Autor:
Heath-Brown, D. R.
We present a general method for handling problems that ask for the equidistribution of solutions to equations involving $m^2+n^2$, and illustrate it by considering $p+m^2+n^2=N$.
Comment: Revised version incorporating several corrections
Comment: Revised version incorporating several corrections
Externí odkaz:
http://arxiv.org/abs/2212.12587
Autor:
Heath-Brown, D. R.
We examine the counting function for rational points on conics, and show how the point where the asymptotic behaviour begins depends on the size of the smallest zero.
Externí odkaz:
http://arxiv.org/abs/2203.13889
Autor:
Heath Brown
For four decades, the number of conservative parents who homeschool their children has risen. But unlike others who teach at home, conservative homeschool families and organizations have amassed an army of living-room educators ready to defend their
Autor:
Browning, Tim, Heath-Brown, Roger
We develop a version of Ekedahl's geometric sieve for integral quadratic forms of rank at least five. As one ranges over the zeros of such quadratic forms, we use the sieve to compute the density of coprime values of polynomials, and furthermore, to
Externí odkaz:
http://arxiv.org/abs/2003.09593
Autor:
Heath-Brown, D. R.
We show that \[\sum_{\substack{p_n\le x\\ p_{n+1}-p_n\ge\sqrt{p_n}}}(p_{n+1}-p_n)\ll_{\varepsilon} x^{3/5+\varepsilon}\] for any fixed $\varepsilon>0$. This improves a result of Matom\"{a}ki, in which the exponent was $2/3$.
Externí odkaz:
http://arxiv.org/abs/1906.09555
Autor:
Heath Brown
In Immigrants and Electoral Politics, Heath Brown shows why nonprofit electoral participation has emerged in relationship to new threats to immigrants, on one hand, and immigrant integration into U.S. society during a time of demographic change, on t
Autor:
Heath-Brown, D R
We show that large gaps between smooth numbers are infrequent. The key new tool is a novel mean value bound for a special type of Dirichlet polynomial.
Comment: To appear in Acta Arithmetica
Comment: To appear in Acta Arithmetica
Externí odkaz:
http://arxiv.org/abs/1808.02947