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Portal znanstvenih časopisa Republike Hrvatske
Glasnik matematički, Vol.44 No.2 Prosinac 2009.
Izvorni znanstveni članak
10.3336/gm.44.2.03
Arithmetic properties of the integer part of the powers of an algebraic number
Florian Luca
; Instituto de Matemáticas, Universidad Nacional Autónoma de México, C.P. 58089, Morelia, Michoacán, México
Maurice Mignotte
; Université Louis Pasteur, UFR de mathématiques, 7 rue René Descartes, 67084 Strasbourg, France
Puni tekst nije dostupan.
Sažetak
For a real number x, we let x be the closest integer to x. In this paper, we look at the arithmetic properties of the integers θn when n ≥ 0, where θ > 1 is a fixed algebraic number.
Ključne riječi
Powers of algebraic numbers, digital representations, applications of linear forms in logarithms and the subspace theorem.
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