2021/06/07 by Joerg Bruedern, Trevor D. Wooley, Bruedern, Joerg +1
Mathematics · #11D45 #11P05 #11P55 #Algebraic Geometry and Number Theory #Analytic and geometric function theory #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2106.03986
openalex publication_date 2021/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider certain systems of three linked simultaneous diagonal equations in ten variables with total degree exceeding five. By means of a complification argument, we obtain an asymptotic formula for the number of integral solutions of this system of bounded height that resolves the associated paucity problem.