插值素数序列的多项式样条
数论
2007-05-23 v5
摘要
构造了一个可微实函数,其在给定数以内复现素数且拥有可微反函数。将该反函数与 Riemann-Von Mangoldt 关于不超过给定值的素数个数的精确表达式进行比较。开发了用于计算正、反函数及其导数的软件。给出了素数上 Diophantine 方程近似解的例子。
引用
@article{arxiv.math/0212246,
title = {Polynomial splines interpolating prime series},
author = {Lumomir Alexandrov and D. B. Baranov and Plamen Yotov},
journal= {arXiv preprint arXiv:math/0212246},
year = {2007}
}
备注
28 pages, 9 figures, 1 Fortran packages included in source, 2 listings with solutions of Diophantine equations on primes and twins