2014/04/21 by Neil Lyall, Lyall, Neil, Alex Rice +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #math.CA #math.CO #math.NT
paper · pdf · doi:10.48550/arxiv.1404.5161
6 pages
arxiv created 2014/04/21 · openalex publication_date 2014/04/21 · arxiv updated 2014/04/22 · openalex created_date 2020/04/03 · openalex updated_date 2026/07/28
In this short note, we closely follow the approach of Green and Tao to extend the best known bound for recurrence modulo 1 from squares to the largest possible class of polynomials. The paper concludes with a brief discussion of a consequence of this result for polynomials structures in sumsets and limitations of the method.