2017/10/28 by Sai Teja Somu, Somu, Sai Teja
Mathematics · #Advanced Mathematical Identities #Advanced Mathematical Theories #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.1710.10491
openalex publication_date 2017/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let r,n be two natural numbers and let H(r,n) denote the maximal absolute value of rth coefficient of divisors of xn-1. In this paper, we show that ∑n≤ xH(r,n) is asymptotically equal to c(r)x(log x)2r-1 for some constant c(r)>0. Furthermore, we give an explicit expression of c(r) in terms of r.