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math.CO2023
On arithmetic sums of Cantor-type sequences of integers
Norbert Hegyvári
We are looking for integer sets that resemble classical Cantor set and investigate the structure of their sum sets. Especially we investigate the subset sum of sequence typ…
math.CO2023
On the distribution of subset sums of certain sets in
Norbert Hegyvári
A given subset of natural numbers is said to be complete if every element of is the sum of distinct terms taken from . This topic is strongly connected to the k…
math.CO2023
Covering shrinking polynomials by quasi progressions
Norbert Hegyvári
Erd\H os introduced the quantity , where are arithmetic progressions, and cover the square numbers up to . He conjectured that is close…