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On an identity of chowla and selberg

โœ Scribed by Benedict H Gross

Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
186 KB
Volume
11
Category
Article
ISSN
0022-314X

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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, II
On an Error Term of Chowla, II
โœ Jianya Liu ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 277 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 prove in this paper that where c is a positive constant depending on r. This generalizes the earlier results of Chowla and of Bellman.

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.