Artículo
Counting tuples restricted by pairwise coprimality conditions
Autor/es | Arias de Reyna Martínez, Juan
Heyman, Randell |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2015 |
Fecha de depósito | 2016-11-23 |
Publicado en |
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Resumen | Given a subset A of the set {1, . . . , v}2 we say that (a1, . . . , av) exhibits pairwise coprimality over A if gcd(ai, aj ) = 1 for all (i, j) ∈ A. For a given positive x and a given set A we give an asymptotic formula ... Given a subset A of the set {1, . . . , v}2 we say that (a1, . . . , av) exhibits pairwise coprimality over A if gcd(ai, aj ) = 1 for all (i, j) ∈ A. For a given positive x and a given set A we give an asymptotic formula for the number of (a1, . . . , av) with 1 ≤ a1, . . . , av ≤ x that exhibit pairwise coprimality over A. This problem has been studied before by Hu. |
Agencias financiadoras | Ministerio de Economía y Competitividad (MINECO). España |
Identificador del proyecto | MTM2012-30748 |
Cita | Arias de Reyna Martínez, J. y Heyman, R. (2015). Counting tuples restricted by pairwise coprimality conditions. Journal of Integer Sequences, 18 (10), 15.10.4-1-15.10.4-16. |
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