Gaussian integers with small prime factors

D. G. Hazlewood

International Journal of Mathematics and Mathematical Sciences, 1979, vol. 2, 1-10

Abstract:

Let ψ G ( x t , x ) denote the number of Gaussian integers with norm not exceeding x 2 t whose Gaussian prime factors have norm not exceeding x 2 . Previous estimates have required restrictions on the parameter t with respect to x . The purpose of this note is to present asymptotic estimates for ψ G ( x t , x ) for all ranges of the parameter t with respect to x .

Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:635749

DOI: 10.1155/S0161171279000089

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