A hybrid mean value involving Cochrane sums and a new sum analogous to Kloosterman sums*

作者：Zhang, Wenpeng^*

来源：Lithuanian Mathematical Journal, 2016, 56(1): 127-132.

DOI：10.1007/s10986-016-9309-0

• Cochrane sums
• Dedekind sums
• mean value theorem of Dirichlet L-function
• mean square value
• asymptotic formula

In this paper, we use the analytic method, the properties of the Dedekind sums, and the mean value theorem of Dirichlet L-function to study the mean value properties of the Cochrane sums and give an interesting mean square value formula for it.

• 出版日期2016-1
• 单位西北大学