We give upper and lower bounds 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 a recursive algorithm developed by the author.
"Bounds for the trace of small Salem numbers." Rocky Mountain J. Math. 49 (2) 493 - 504, 2019. https://doi.org/10.1216/RMJ-2019-49-2-493