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ALMOST-PRIME VALUES OF BINARY FORMS WITH ONE PRIME VARIABLE

Part of: Multiplicative number theory

Published online by Cambridge University Press:  05 December 2014

A. J. Irving
A. J. Irving*
Affiliation:
Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford OX2 6GG, U.K. email irving@maths.ox.ac.uk

Abstract

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By establishing an improved level of distribution we study almost-primes of the form $f(p,n)$ where $f$ is an irreducible binary form over $\mathbb{Z}$.

MSC classification

Primary: 11N32: Primes represented by polynomials; other multiplicative structure of polynomial values 11N36: Applications of sieve methods

Information

Type
Research Article
Information
Mathematika , Volume 61 , Issue 3 , September 2015 , pp. 741 - 755
Copyright
Copyright © University College London 2014 

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