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Publications associées (42)
The double exponential runtime is tight for 2-stage stochastic ILPs
Kim-Manuel Klein, Klaus Jansen, Alexandra Anna Lassota
We consider fundamental algorithmic number theoretic problems and their relation to a class of block structured Integer Linear Programs (ILPs) called 2-stage stochastic. A 2-stage stochastic ILP is an integer program of the form min{c(T)x vertical bar Ax = ...
SPRINGER HEIDELBERG2022A new elementary proof of the Prime Number Theorem
Let denote the number of prime factors of . We show that for any bounded one has [ \frac{1}{N}\sum_{n=1}^N, f(\Omega(n)+1)=\frac{1}{N}\sum_{n=1}^N, f(\Omega(n))+\mathrm{o}_{N\to\infty}(1). ] This yields a ...
2021A decomposition of multicorrelation sequences for commuting transformations along primes
A decomposition of multicorrelation sequences for commuting transformations along primes, Discrete Analysis 2021:4, 27 pp. Szemerédi's theorem asserts that for every positive integer and every there exists such that every subset of ${1, ...
2021