Sequences of algebraic numbers and density modulo 1

• Autores: Roman Urban
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 72, Fasc. 1-2, 2008, págs. 141-154
• Idioma: inglés
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• Resumen

  • We prove density modulo 1 of the sets of the form f¹m¸n» + rm : m; n 2 Ng and f¹m¸n» + rm+n¯ : m; n 2 Ng;

    where ¸; ¹ is a pair of rationally independent real algebraic numbers, satisfying some additional assumptions, » 6= 0, r; ¯ 2 R and rm is any sequence of real numbers.