๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On an Error Term of Chowla, II

โœ Scribed by Jianya Liu

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
277 KB
Volume
64
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.

โœฆ Synopsis

Let E(x; r) be the error term in the mean-value estimate of (.(n)ร‚n) r , where .(n) is the Euler totient function, and r is a positive real number. We prove in this paper that

where c is a positive constant depending on r. This generalizes the earlier results of Chowla and of Bellman.

๐Ÿ“œ SIMILAR VOLUMES

On an Error Term of Chowla, I
On an Error Term of Chowla, I
โœ Jianya Liu ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 284 KB

Let E(x; r) be the error term in the mean-value estimate of (.(n)ร‚n) r , where .(n) is the Euler totient function, and r is a positive real number. We show that where c is a positive constant, and =(x ; r) is a certain function tending to 0 as x ร„ . These results generalize those of Pillai and Chow

On an Error Term of Chowla, III
On an Error Term of Chowla, III
โœ Jianya Liu ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 240 KB

Let E(x; r) be the error term in the mean-value estimate of (.(n)ร‚n) r , where .(n) is the Euler totient function, and r is a positive integer. We prove in this paper that This generalizes the earlier result of Montgomery.

On an identity of chowla and selberg
On an identity of chowla and selberg
โœ Benedict H Gross ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 186 KB
An error term of Ramanujan
An error term of Ramanujan
โœ R.A Smith ๐Ÿ“‚ Article ๐Ÿ“… 1970 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 183 KB