DOIAbstract
Götze F, Gusakova A. On the distribution of Salem numbers. Journal of Number Theory. 2020;216:192-215.In- this paper we study the problem of counting Salem numbers of fixed degree. Given a set of disjoint intervals I-1, ..., I-k subset of [0; pi], 1 infinity, providing explicit expressions for the constant omega(m) and the function rho(m,k) (theta). Moreover we derive a similar asymptotic formula for the set of all Salem numbers of fixed degree and absolute value bounded by Q as Q ->infinity. (C) 2020 Elsevier Inc. All rights reserved
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