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

Abstract

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.

Added missing reference

References in corpus (5)

• The Average Number of Goldbach Representations
• Applications of some exponential sums on prime powers: a survey
• On the average number of representations of an integer as a sum of like prime powers
• A Cesàro Average of generalised Hardy-Littlewood numbers
• A Cesàro average for an additive problem with prime powers