Götze, Friedrich; Gusakova, Anna Grigorevna Algebraic numbers in short intervals. (Russian. English summary) Zbl 1372.11073 Dokl. Nats. Akad. Nauk Belarusi 59, No. 4, 11-16 (2015). Summary: In this article we consider the distribution of algebraic numbers in very short intervals. The concept of a type of a short intervals is introduced. Depending on the type of the interval the estimations for the number of algebraic numbers within the interval are found. Cited in 1 ReviewCited in 1 Document MSC: 11J83 Metric theory Keywords:algebraic numbers; polynomial with integer coefficients; resultant; Lebesgue measure PDFBibTeX XMLCite \textit{F. Götze} and \textit{A. G. Gusakova}, Dokl. Nats. Akad. Nauk Belarusi 59, No. 4, 11--16 (2015; Zbl 1372.11073) Full Text: Link