Averaging on thin sets of diagonal forms

2013/09/05 by Sam Chow, Chow, Sam
Mathematics · #11D72 #11E76 #11P55 #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1309.1447

openalex publication_date 2013/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate one-dimensional families of diagonal forms, considering the evolution of the asymptotic formula and error term. We then discuss properties of the average asymptotic formula obtained. The subsequent second moment analysis precipitates an effective means of computing p-adic densities of zeros for large primes p.

Citations

• Homogeneous additive equations
• Random diophantine equations, I

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