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Detalles del recurso

Descripción

We consider the asymptotic probability that integers chosen according to a binomial distribution will have certain properties: (i) that such an integer is not divisible by the $k$th power of a prime, (ii) that any $k$ of $s$ chosen integers are relatively prime and (iii) that a chosen integer is prime. We also prove an analog of the Dirichlet divisor problem for the binomial distribution. We show how these results yield corresponding facts concerning the number of points on a smooth complete intersection over a finite field.

Pertenece a

Project Euclid (Hosted at Cornell University Library)  

Autor(es)

Schmidt, Eric - 

Id.: 70963371

Idioma: inglés  - 

Versión: 1.0

Estado: Final

Tipo:  application/pdf - 

Palabras claveBinomial distribution - 

Tipo de recurso: Text  - 

Tipo de Interactividad: Expositivo

Nivel de Interactividad: muy bajo

Audiencia: Estudiante  -  Profesor  -  Autor  - 

Estructura: Atomic

Coste: no

Copyright: sí

: Copyright 2017 Rocky Mountain Mathematics Consortium

Formatos:  application/pdf - 

Requerimientos técnicos:  Browser: Any - 

Relación: [References] 0035-7596

Fecha de contribución: 04-feb-2018

Contacto:

Localización:
* Rocky Mountain J. Math. 47, no. 8 (2017), 2777-2796
* doi:10.1216/RMJ-2017-47-8-2777

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