The main purpose of this paper is to use a mean value theorem of Dirichlet L-functions to study the asymptotic property of a hybrid mean value of a Cochrane sum and to give an interesting mean value formula. ๏ฃฉ 2002 Elsevier Science (USA)
On the order of the high-dimensional Cochrane sum and its mean value
โ Scribed by Xu Zhefeng; Zhang Wenpeng
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 156 KB
- Volume
- 117
- Category
- Article
- ISSN
- 0022-314X
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โฆ Synopsis
The main purpose of this paper is to study the high-dimensional Cochrane sum and give a sharp estimate of its order by using properties of hyper-Kloosterman sum and the mean value theorems of Dirichlet L-functions.
๐ SIMILAR VOLUMES
The main purpose of this paper is using the mean value theorem of the Dirichlet L-functions to study the distribution property of a sums analogous to the Dedekind sums, and give an interesting mean square value formula.
The main purpose of this paper is using the mean value theorem of Dirichlet L-functions to study the asymptotic property of the sums analogous to Dedekind sums and give a sharper first power mean value formula.
An upper bound estimate of high-dimensional Cochrane sums is given in this note using Weinstein's version of Deligne's estimate for the hyper-Kloosterman sum and a mean value theorem of Dirichlet L-functions.