5 papers · 1 filter
Note on the sumset of squares
Norbert Hegyvári
It is proved that for any non-empty finite subset of the square numbers, . This result essentially is proved -- with the same tools -- b…
On the structures of subset sums in higher dimension
Norbert Hegyvári, Máté Pálfy, Erfei Yue
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 knapsack…
Estimation of function's supports under arithmetic constraints
Norbert Hegyvári
The well-known inequality gives lower estimation of each supports. In the present paper we give upper estimation under arithmetic constrains.…
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…
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…