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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2020
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2012.02503 |
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| _version_ | 1866929399141498880 |
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| author | Cantarini, Marco Gambini, Alessandro Zaccagnini, Alessandro |
| author_facet | Cantarini, Marco Gambini, Alessandro Zaccagnini, Alessandro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_02503 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | A Cesàro average for an additive problem with an arbitrary number of prime powers and squares Cantarini, Marco Gambini, Alessandro Zaccagnini, Alessandro Number Theory 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. |
| title | A Cesàro average for an additive problem with an arbitrary number of prime powers and squares |
| topic | Number Theory |
| url | https://arxiv.org/abs/2012.02503 |