Simultaneous approximation of zero by values of integral polynomials with respect to different valuations
Ella I. Kovalevskaya (2004)
Mathematica Slovaca
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Ella I. Kovalevskaya (2004)
Mathematica Slovaca
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Ella I. Kovalevskaya, Vasily Bernik (2006)
Acta Mathematica Universitatis Ostraviensis
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We prove an analogue of the convergence part of Khintchine’s theorem for the simultaneous inhomogeneous Diophantine approximation on the Veronese curve with respect to the different valuations. It is an extension of the author’s earlier results.
Gal, Ciprian S., Gal, Sorin G. (2004)
International Journal of Mathematics and Mathematical Sciences
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Wolfgang M. Schmidt (2012)
Acta Arithmetica
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Philippou, Andreas N., Georghiou, Costas, Philippou, George N. (1983)
International Journal of Mathematics and Mathematical Sciences
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Madhekar, H.C., Chamle, V.T. (1987)
International Journal of Mathematics and Mathematical Sciences
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Bruschi, M., Calogero, F., Droghei, R. (2009)
Advances in Mathematical Physics
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Constantinescu, Eugen (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Manisha Kulkarni, B. Sury (2005)
Acta Arithmetica
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Vasili Bernik, Friedrich Götze, Olga Kukso (2008)
Acta Arithmetica
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Cottin, Claudia, Gavrea, Ioan, Gonska, Heinz H., Kacsó, Daniela P., Zhou, Ding-Xuan (1999)
Journal of Inequalities and Applications [electronic only]
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Natalia Budarina, Detta Dickinson (2013)
Acta Arithmetica
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We prove that the Lebesgue measure of the set of real points which are inhomogeneously Ψ-approximable by polynomials, where Ψ is not necessarily monotonic, is zero.