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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.18711 |
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| _version_ | 1866914774545072128 |
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| author | Giuliano, Rita Grekos, Georges Misik, Ladislav |
| author_facet | Giuliano, Rita Grekos, Georges Misik, Ladislav |
| contents | In this paper we present a new formulation of the Beurling-Malliavin density (Proposition 1). Then we consider the upper Polya density and show how its existence is connected with the concept of subadditivity; moreover, by means of some quantities introduced for proving Proposition 1, a theorem is presented that clarifies the connection between the upper Polya and the Beurling-Malliavin densities. In the last section we discuss the classical definition of the upper Polya density and we prove a result which seems to be new. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_18711 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Beurling-Malliavin density, the Polya density and their connection Giuliano, Rita Grekos, Georges Misik, Ladislav Number Theory 11B25, 11B05 In this paper we present a new formulation of the Beurling-Malliavin density (Proposition 1). Then we consider the upper Polya density and show how its existence is connected with the concept of subadditivity; moreover, by means of some quantities introduced for proving Proposition 1, a theorem is presented that clarifies the connection between the upper Polya and the Beurling-Malliavin densities. In the last section we discuss the classical definition of the upper Polya density and we prove a result which seems to be new. |
| title | The Beurling-Malliavin density, the Polya density and their connection |
| topic | Number Theory 11B25, 11B05 |
| url | https://arxiv.org/abs/2404.18711 |