An identity involving certain Hardy sums and Ramanujan's sum

作者：Wang, Weiqiong; Han, Di^*

来源：Advances in Difference Equations, 2013, 261.

DOI：10.1186/1687-1847-2013-261

• Gauss sums
• Ramanujan's sum
• certain Hardy sums
• hybrid mean value
• computational formula

The main purpose of this paper is using the properties of Gauss sums and the mean value theorem of the Dirichlet L-functions to study one kind of a hybrid mean value problem involving certain Hardy sums and Ramanujan's sum and to give an exact computational formula for it.

• 出版日期2013
• 单位西北大学; 长安大学