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.
A Cesàro average for an additive problem with an arbitrary number of prime powers and squares / Cantarini, M.; Gambini, A.; Zaccagnini, A.. - In: RESEARCH IN NUMBER THEORY. - ISSN 2363-9555. - 8:3(2022). [10.1007/s40993-022-00347-4]
A Cesàro average for an additive problem with an arbitrary number of prime powers and squares
Gambini A.
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2022
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.File allegati a questo prodotto
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