A NOTE ON CONTINUED FRACTIONS WITH SEQUENCES OF PARTIAL QUOTIENTS OVER THE FIELD OF FORMAL POWER SERIES

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 49, Issue 4, 2012, pp.875-883
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2012.49.4.875

Title & Authors

A NOTE ON CONTINUED FRACTIONS WITH SEQUENCES OF PARTIAL QUOTIENTS OVER THE FIELD OF FORMAL POWER SERIES

Hu, Xuehai; Shen, Luming;

Hu, Xuehai; Shen, Luming;

Abstract

Let be a finite field with q elements and be the field of all formal Laurent series with coefficients lying in . This paper concerns with the size of the set of points with their partial quotients both lying in a given subset of polynomials in ( denotes the ring of polynomials with coefficients in ) and deg tends to infinity at least with some given speed. Write $E_{\mathbb{B}}

Keywords

continued fractions;Laurent series;partial quotient;Hausdorff dimension;

Language

English

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