Sums of Liouville type over primitive pairs and quadruples and some integer representations

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• 作者：Mohamed El Bachraoui
• 关键词：11A25 ; 11B75 ; 11B50
• 刊名：Journal of Number Theory
• 出版年：2013
• 出版时间：January, 2013
• 年：2013
• 卷：133
• 期：1
• 页码：226-241
• 全文大小：203 K

文摘

We prove identities of Liouville type on sums of even integer functions ranging over sets of relatively prime pairs and relatively prime quadruples. Among applications, we shall count the number of solutions of the Diophantine equations and in positive integers under certain relative primality conditions.