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Bounds for the trace of small Salem numbers
- Source :
- Rocky Mountain J. Math. 49, no. 2 (2019), 493-504
- Publication Year :
- 2019
- Publisher :
- Rocky Mountain Mathematics Consortium, 2019.
-
Abstract
- In this work, we give a lower bound and an upper bound for the trace of a Salem number whose Mahler measure is less than 1.3. We use the method of explicit auxiliary functions combined with the recursive algorithm developed in [F3].
- Subjects :
- Discrete mathematics
recursive algorithm
General Mathematics
[MATH] Mathematics [math]
[MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]
Salem numbers
Trace (semiology)
11Y40
11C08
11R06
trace
[MATH]Mathematics [math]
Mathematics
[MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Rocky Mountain J. Math. 49, no. 2 (2019), 493-504
- Accession number :
- edsair.doi.dedup.....abd2375259b9f4abb510d8b6ed9cb01a