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On sums of monotone functions over smooth numbers

On sums of monotone functions over smooth numbers

Abstract In this article, we are going to look at the requirements regarding a monotone function f ∈ ℝ →ℝ ≥0 , and regarding the sets of natural numbers <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"> <m:mrow> <m:msubsup> <m:mrow> <m:mrow> <m:mrow> <m:mo>(</m:mo> <m:mrow> <m:msub> <m:mrow> <m:mi>A</m:mi> </m:mrow> <m:mi>i</m:mi> </m:msub> </m:mrow> <m:mo>)</m:mo> </m:mrow> </m:mrow> </m:mrow> …