On a Generalization of Farey Sequences, II

Autor:	Jean-Marc Deshouillers, F. Delmer
Jazyk:	angličtina
Předmět:	Discrete mathematics Combinatorics Mathematics::Dynamical Systems Algebra and Number Theory Property (philosophy) Discriminant Generalization Mathematics::Number Theory Farey sequence Quadratic irrational Mathematics
Zdroj:	Journal of Number Theory. (1):60-67
ISSN:	0022-314X
DOI:	10.1006/jnth.1995.1127
Popis:	A generalization of Farey sequences to quadratic irrational numbers is given, for which the (fundamental) discriminant property of Farey sequences is shown to hold on average. This is the first positive result connected with a phenomenon observed by H. Brown and K. Mahler more than 20 pears ago.
Databáze:	OpenAIRE
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