CORDIS Project
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This research project investigates the roles of regularity and irregularity in combinatorics and number theory. It aims to demonstrate the existence of specific configurations in arbitrary sets of numbers or points, using deterministic and probabilistic methods.
Regularity and irregularity plays a central role in mathematics.
In the present research proposal we will select problems from combinatorics and number theory (including additive combinatorics), where regularity and irregularity appear.
In some cases we have to deal, e.g., with arbitrary finite or infinite subsets of natural numbers, where the only information we have is their cardinality, namely, that they are of positive (lower asymptotic) density within the set of all natural numbers or with…
HUN-REN ALFRED RENYI INSTITUTE OF MATHEMATICS
HUN-REN RENYI ALFRED MATEMATIKAI KUTATOINTEZET
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