Asymptotic evaluations for some double sums in number theory

作者：Banescu Magdalena^*; Popa Dumitru

来源：International Journal of Number Theory, 2015, 11(7): 2073-2085.

DOI：10.1142/S1793042115500906

• Arithmetic functions
• asymptotic results
• Polya theorem

In this paper, we indicate a method to obtain asymptotic evaluations for double sums from the asymptotic evaluations of a single sum. As applications, we show that all results in the recent paper [ New extensions of some classical theorems in number theory, J. Number Theory 133( 13) ( 2013) 3771-3795] can be used to obtain some asymptotic evaluations for double sums. Further, we give asymptotic evaluations for double sums which involve the divisor and the Euler totient function.

• 出版日期2015-11