A. S. Pen, B. F. Skubenko, “Estimation from above of the period of a quadratic irrationality”, Mat. Zametki, 1969, Volume 5, Issue 4,Pages <nobr>413

This article is cited in 2 papers

Estimation from above of the period of a quadratic irrationality

A. S. Pen^a, B. F. Skubenko^b

^a A. Navoi Samarkand State University
^b Leningrad Branch of the V. A. Steklov Mathematical Institute, Academy of Sciences of the USSR

Abstract: The following result is established: let $l$ be the length of the period of a quadratic irrationality with discriminant $D>0$; then $l\ll D^{1/2+\varepsilon}$, where $\varepsilon$ is an arbitrarily small positive quantity.

UDC: 511

Received: 23.05.1968