Abstract
Some years ago Evelyn and Linfoot found an asymptotic formula, with estimation of remainder, for the number of representations of a large integer n as the sum of s r-free integers. For s ≥ 4 their formula was subsequently sharpened by Barham and Estermann, and for s = 3 recently by me.
Publisher
Cambridge University Press (CUP)
Reference9 articles.
1. (III) Math. Z. 34 (1932), 637–44;
2. (IV), Ann. Math. 32 (1931), 261–70;
3. On the representations of a number as the sum of four or more N-numbers’;Barham;Proc. London Math. Soc.,1935
4. On a problem in the additive theory of numbers’;Evelyn;Math. Z.,1929
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. MOMENT ESTIMATES FOR EXPONENTIAL SUMS OVER k-FREE NUMBERS;International Journal of Number Theory;2013-04-07
2. The Thirties;Springer Monographs in Mathematics;2012
3. On the exponential sum over k–free numbers;Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences;1998-03-15
4. Leon Mirsky, 1918–1983;Linear Algebra and its Applications;1984-09