论文标题

具有任意数量的Prime Powers和正方形的添加问题的平均值

A Cesàro average for an additive problem with an arbitrary number of prime powers and squares

论文作者

Cantarini, Marco, Gambini, Alessandro, Zaccagnini, Alessandro

论文摘要

在本文中,我们扩展并改善了有关加权平均值的文献中已知的所有以前的结果,并具有整数的表示形式为正任意数量的总和数量和非负值的任意数量的正方形。我们的结果包括到目前为止处理的所有案例,并允许我们使用所选技术获得最佳的结果。

In this paper we extend and improve all the previous results known in literature about weighted average, with Cesàro weight, of representations of an integer as sum of a positive arbitrary number of prime powers and a non-negative arbitrary number of squares. Our result includes all cases dealt with so far and allows us to obtain the best possible outcome using the chosen technique.

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