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On the Distribution Modulo 1 of the Sequence <i>αn</i><sub>2</sub> + <i>βn</i>

Wolfgang M. Schmidt

Type: Article

Publication Date: 1977-08-01

Citations: 8

DOI: https://doi.org/10.4153/cjm-1977-084-8

Abstract

Dirichlet's Theorem says that for any real α and for N ≧ 1, there exists a natural n ≦ N with where || || denotes the distance to the nearest integer. Heilbronn [ 2 ], improving estimates of Vinogradov [ 3 ], showed that for α, N as above and for ϵ ≧ 0, there exists an n ≦ N with

Locations

  • Canadian Journal of Mathematics - View - PDF

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+ PDF Chat On the distribution (mod 1) of polynomials of a prime variable 1982 Ming-Chit Liu
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+ The Mathematical Work of Wolfgang Schmidt 2008 Hans Peter Schlickewei
+ Distribution modulo 1 of some oscillating sequences 1990 Daniel Berend
Grigori Kolesnik
+ PDF Chat Diophantine inequalities and quasi-algebraically closed fields 2012 Craig Spencer
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+ Distribution modulo 1 of some oscillating sequences, II 1995 Daniel Berend
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+ Recent results on fractional parts of polynomials 1979 Roger C. Baker
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