Liao Si-quan
Abstract
For any positive integer k and n,let δ(k)denote the sum of distinct divisors of k,and let f(n)=δ(1)+δ(2)+…+δ(n),there exist infinitely many positive integers n satisfying δ(f(n))≥n(n+1).
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For any positive integer k and n,let δ(k)denote the sum of distinct divisors of k,and let f(n)=δ(1)+δ(2)+…+δ(n),there exist infinitely many positive integers n satisfying δ(f(n))≥n(n+1).
Key concepts: Inequality, Mathematics, Pure mathematics, Mathematical economics, Algebra over a field, Mathematical analysis