N. V. Budarina, D. Dickinson, “<nobr>$P$</nobr>-adic Diophantine approximation on the Veronese curve with a non-monotonic error”, Tr. Inst. Mat., 2007, Volume 15, Number 1,Pages <nobr>98

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$P$-adic Diophantine approximation on the Veronese curve with a non-monotonic error

N. V. Budarina^a, D. Dickinson^b

^a Vladimir State Pedagogical University, Russia
^b Maynooth University, Ireland

Abstract: A $p$-adic analogue of the convergence part of Khintchine's Theorem for polynomials is proved with a non-monotonic error function. This is a small strengthening of Sprindžuk's theorem and a generalization of a result of Beresnevich.

UDC: 511.36

Received: 15.03.2007

Language: English