A BINARY ADDITIVE EQUATION INVOLVING FRACTIONAL POWERS

被引：9

作者：

Kumchev, Angel V. ^{[1
]}

机构：

[1] Towson Univ, Dept Math, Towson, MD 21252 USA

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2009年 / 5卷 / 02期

关键词：

Binary additive problem; fractional powers; prime numbers;

D O I：

10.1142/S1793042109002092

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let c be a real number with 1 < c < 2. We study the representations of a large integer n in the form [m(c)] + [p(c)] = n, where m is an integer and p is a prime number. We prove that when 1 < c < 16/15, all sufficiently large integers are thus representable.

引用

页码：281 / 292

页数：12

共 47 条

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[J]. NUMERICAL ALGORITHMS, 2020, 85 (04) : 1409 - 1445
[47] Acceleration of convergence of some infinite sequences {An} whose asymptotic expansions involve fractional powers of n via the d~(m)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}${\tilde {d}}^{(m)}$\end{document} transformation
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[J]. Numerical Algorithms, 2020, 85 (4) : 1409 - 1445

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