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.
Cantarini, M., Gambini, A., Zaccagnini, A. (2022). A Cesàro average for an additive problem with an arbitrary number of prime powers and squares. RESEARCH IN NUMBER THEORY, 8(3), 1-22 [10.1007/s40993-022-00347-4].
A Cesàro average for an additive problem with an arbitrary number of prime powers and squares
Gambini A.
;
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 in questo prodotto:
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