Upper bounds for integer solutions to a system of two bilinear forms

2014/12/11 by Eugen Keil, Keil, Eugen
Mathematics · #11D09 (Primary) #11D72 (Secondary) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Limits and Structures in Graph Theory #Number Theory (math.NT) #math.NT #msc:11D09 #msc:11D72

paper · pdf · doi:10.48550/arxiv.1412.3590

14 pages

arxiv created 2014/12/11 · openalex publication_date 2014/12/11 · arxiv updated 2014/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the number of integer solutions for a pair of bilinear equations in at least 2*6 variables has (up to logarithms) the expected upper bound unless there is a structural reason why it is not the case.

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