Correlations of representation functions of binary quadratic forms

2012/05/18 by Lilian Matthiesen, Matthiesen, Lilian
Mathematics · #Analytic Number Theory Research #FOS: Mathematics #Finite Group Theory Research #Limits and Structures in Graph Theory #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1205.4145

6 pages

arxiv created 2012/05/18 · openalex publication_date 2012/05/18 · arxiv updated 2012/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper extends previous work on linear correlations of representation functions of positive definite binary quadratic forms to allow indefinite forms.

Citations

• An inverse theorem for the Gowers U^s+1[N]-norm

Related

• Linear correlations amongst numbers represented by positive definite binary quadratic forms
• Pairs of diagonal quadratic forms and linear correlations among sums of two squares
• Binary quadratic forms: modern developments
• On pair correlation for generic diagonal forms
• Reduction theory of binary forms