Abstract
We prove sieve-type lower bounds for the Mahler measure of polynomials on subarcs of the unit circle of the complex plane. This is then applied to give an essentially sharp lower bound for the Mahler measure of the Fekete polynomials on subarcs.
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Erdélyi, T. Sieve-Type Lower Bounds for the Mahler Measure of Polynomials on Subarcs. Comput. Methods Funct. Theory 11, 213–228 (2011). https://doi.org/10.1007/BF03321798
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DOI: https://doi.org/10.1007/BF03321798
Keywords
- Large sieve inequalities
- Mahler measure
- constrained coefficients
- Fekete polynomials
- Littlewood polynomials