Pairs of diagonal quadratic forms and linear correlations among sums of two squares

2013/02/11 by T. D. Browning, Browning, T. D., Ritabrata Munshi +2
Engineering · Mathematics · #11D72 (11E12 #11P55) #Analytic Number Theory Research #FOS: Mathematics #Limits and Structures in Graph Theory #Number Theory (math.NT) #graph theory and CDMA systems #math.NT #msc:11D72

paper · pdf · doi:10.48550/arxiv.1302.2434

20 pages

arxiv created 2013/02/11 · openalex publication_date 2013/02/11 · arxiv updated 2013/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For suitable pairs of diagonal quadratic forms in 8 variables we use the circle method to investigate the density of simultaneous integer solutions and relate this to the problem of estimating linear correlations among sums of two squares.

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