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Two classes of real numbers and formal power series: quasi algebraic objects
Citterio, Maurizio
Talamo, Rodolfo
2014-12-23
Abstract
Motivated by the endeavour to extend to the algebraic irrationals the notion of best rational approximation to a given real number, we define the concept of quasi algebraic number and prove some results related to it. We apply these results to the study of the Schroeder functional equation with quasi algebraic parameter. The main definitions can be transposed to the field of formal Laurent series over a finite field. In this respect we prove that every badly approximable series is quasi algebraic.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
46 (2014)
Languages
en
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