2023/09/14 by Zaimi, Toufik
#FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.2309.07723
By extending a construction due to Gross and McMullen [2], we show that for any odd integer n and for any even integer d>n+2 there are infinitely many Salem numbers α of degree d such that αn-1 is a unit. A similar result is also proved when n runs through some classes of even integers, d>n+3 and d/2 is an odd integer.