Involve: A Journal of Mathematics
- Volume 6, Number 4 (2013), 393-397.
An elementary inequality about the Mahler measure
Let be a degree polynomial with zeros . The total distance from the zeros of to the unit circle is defined as . We show that up to scalar multiples, sits between and . This leads to an equivalent statement of Lehmer’s problem in terms of . The proof is elementary.
Involve, Volume 6, Number 4 (2013), 393-397.
Received: 9 July 2012
Revised: 12 February 2013
Accepted: 16 February 2013
First available in Project Euclid: 20 December 2017
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Stulov, Konstantin; Yang, Rongwei. An elementary inequality about the Mahler measure. Involve 6 (2013), no. 4, 393--397. doi:10.2140/involve.2013.6.393. https://projecteuclid.org/euclid.involve/1513733607