4 papers · 1 filter
Kneserized Anticoncentration and Reverse Absorption for Graham's Rearrangement Conjecture
Simone Costa, Stefano Della Fiore, Tao Feng +1
We establish a Kneser-based anticoncentration estimate for uniform subset sums in composite cyclic groups. The estimate contains a periodic loss and is weaker than its prime-modulu…
Slice and Partition Rank Criteria for Polynomial Zero-Avoidance
Simone Costa, Stefano Della Fiore, Mattia Fontana
We study polynomial zero-avoidance over finite vector spaces by means of slice rank and partition rank. We first make the support-entropy method effective by showing how a finite d…
Weak Freiman isomorphisms and sequencings of small sets
Simone Costa, Stefano Della Fiore
In this paper, we introduce a weakening of the Freiman isomorphisms between subsets of non necessarily abelian groups. Inspired by the breakthrough result of Kravitz, [14], on cycl…
Variants of the Erdős distinct sums problem and variance method
Simone Costa, Stefano Della Fiore, Andrea Ferraguti
Let be a set of positive integers with such that all subset sums are pairwise distinct. A famous conjecture of Erdős states tha…