On the arcsine law on divisors in arithmetic progressions

Autor:	Bin Feng
Rok vydání:	2016
Předmět:	Pure mathematics General Mathematics Law 010102 general mathematics 0103 physical sciences Problems involving arithmetic progressions Inverse trigonometric functions 010307 mathematical physics 0101 mathematics Arithmetic Constant (mathematics) 01 natural sciences Mathematics
Zdroj:	Indagationes Mathematicae. 27:749-763
ISSN:	0019-3577
DOI:	10.1016/j.indag.2016.01.008
Popis:	Suppose q is not a Siegel ‘exceptional’ modulus and let e be sufficiently small positive constant, in this paper, we show that the arcsine law on divisors holds in arithmetic progressions for q ⩽ exp { ( 1 4 − e ) ( log 2 x ) 2 } , which generalizes the known result investigated by Deshouillers, Dress & Tenenbaum.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::036a81dbd9aaa686c0d83a4e29860382 https://doi.org/10.1016/j.indag.2016.01.008 Zobrazit plný text záznamu Full Text from ScienceDirect