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math.CA2024
Convergence of sub-series' and sub-signed series' in terms of the asymptotic -density
Janne Heittokangas, Zinelaabidine Latreuch
Given a non-negative real sequence such that the series diverges, it is known that the size of an infinite subset can be m…
math.CA2024
Asymptotic -densities of subsets of natural numbers
Janne Heittokangas, Zinelaabidine Latreuch
The sizes of subsets of the natural numbers are typically quantified in terms of asymptotic (linear) and logarithmic densities. These concepts have been generalized to weighted …