N. V. Budarina, D. Dickinson, V. I. Bernik, “Simultaneous approximations of real and complex numbers by algebraic numbers of special kind”, Tr. Inst. Mat., 2007, Volume 15, Number 1,Pages <nobr>3

Simultaneous approximations of real and complex numbers by algebraic numbers of special kind

N. V. Budarina^a, D. Dickinson^b, V. I. Bernik^c

^a Vladimir State Pedagogical University, Russia
^b National University of Ireland, Maynooth
^c Institute of Mathematics of the National Academy of Sciences of Belarus

Abstract: The paper is devoted to solving the problem about simultaneous approximation of real and complex number by special algebraic numbers. Here is given the proof of full analogue of Khintchine's theorem for convergence case.

UDC: 511.36

Received: 15.03.2007