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A bandwidth refinement of the Erdős distinct subset sums bound
Simone Costa, Stefano Della Fiore
Let be the least possible largest element of an -element set of positive integers with pairwise distinct subset sums. Dubroff, Fox and Xu proved the finite lower bound \[…
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…
A note on vector trifferent codes over the Sphere
Stefano Della Fiore
Let be the unit sphere. A set is called vector trifferent if for every three distinct there is a coordinate for which $…
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…