The integer Chebyshev constant of Farey intervals
We obtain new bounds for the integer Chebyshev constant of intervals [p/q,r/s] where p, q, r and s are non-negative integers such that q r - p s = 1. As a consequence of the methods used, we improve the known lower bound for the trace of totally positive algebraic integers.
| Authors: | , |
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| Format: | article |
| Publication Date: | 2007 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:138500 |
| Online Access: | https://ddd.uab.cat/record/138500 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_PJTN05_01 |
| Access Level: | Open access |
| Keyword: | Algebraic integer Trace Transfinite diameter Chebyshev Polynomial |
| Summary: | We obtain new bounds for the integer Chebyshev constant of intervals [p/q,r/s] where p, q, r and s are non-negative integers such that q r - p s = 1. As a consequence of the methods used, we improve the known lower bound for the trace of totally positive algebraic integers. |
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