n this paper we extend and improve all the previous results known in literature about weighted average, with Cesaro 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, Marco; Gambini, Alessandro; Zaccagnini, Alessandro. - 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
Zaccagnini, Alessandro
2022-01-01
Abstract
n this paper we extend and improve all the previous results known in literature about weighted average, with Cesaro 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 | Dimensione | Formato | |
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