Kiss, Sándor and Sándor, Csaba (2020) On a problem of Chen and Fang related to infinite additive complements. Acta Arithmetica. ISSN 0065-1036 (print), 1730-6264 (online) (In Press)
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Abstract
Two infinite sets A and B of nonnegative integers are called additive complements if their sumset contains every nonnegative integer. In 1964, Danzer constructed infinite additive complements A and B with A(x)B(x)=(1+o(1))x as x tends to infinity, where A(x) and B(x) denote the counting function of the sets A and B, respectively. In this paper we solve a problem of Chen and Fang by extending the construction of Danzer.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika Q Science / természettudomány > QA Mathematics / matematika > QA71 Number theory / számelmélet |
| Depositing User: | Dr Sándor Kiss |
| Date Deposited: | 20 Sep 2021 10:13 |
| Last Modified: | 03 Apr 2023 07:21 |
| URI: | http://real.mtak.hu/id/eprint/129809 |
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