Dense infinite Bh sequences
For h = 3 and h = 4 we prove the existence of infinite Bh sequences B with counting function B(x) = x√(h-1)2+1-(h-1)+o(1). This result extends a construction of I. Ruzsa for B2 sequences.
| Authors: | , |
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| Format: | article |
| Publication Date: | 2015 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:128223 |
| Online Access: | https://ddd.uab.cat/record/128223 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_59115_04 |
| Access Level: | Open access |
| Keyword: | Sequences Sidon sequences Probabilistic method |
| Summary: | For h = 3 and h = 4 we prove the existence of infinite Bh sequences B with counting function B(x) = x√(h-1)2+1-(h-1)+o(1). This result extends a construction of I. Ruzsa for B2 sequences. |
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