The generalized polynomial Goldbach problem
type: Item
instance of: scholarly article
title: The generalized polynomial Goldbach problem
zbMATH Open document ID: 0847.11055
author: Mireille Car
published in: Journal of Number Theory
publication date: 1996-05-06T00:00:00Z
review text: Let \(A_1\), \(A_2\), and \(A_3\) be coprime polynomials in \(F_q[T]\). The author obtains asymptotic estimates for the number of representations of \(M\in F_q[T]\) as \(M= A_1 P_1+ A_2 P_2+ A_3 P_3\) with irreducible polynomials \(P_i\) subject to degree conditions. The circle method is used.
Mathematics Subject Classification ID: 11P32
Mathematics Subject Classification ID: 11T55
zbMATH DE Number: 874228
zbMATH Keywords: polynomial Goldbach problem
zbMATH Keywords: asymptotic estimates
zbMATH Keywords: number of representations
zbMATH Keywords: circle method
reviewed by: L. N. Vaserstein
MaRDI profile type: Publication
full work available at URL: jnth.1996.0032
OpenAlex ID: W2086152617
DOI: 10.1006/JNTH.1996.0032
description: scientific article; zbMATH DE number 874228