32 citations · 208 across the 38 of their papers we have counts for
7 papers · 1 filter
Sum-product patterns in the shifted primes
Florian K. Richter, Joni Teräväinen
We show that the set of shifted primes contains infinitely many sum-product patterns of the form with arbitrarily large distinct integers. More…
Density regularity of in the integers
Florian K. Richter, Konstantinos Tsinas
Fix . We prove that there exists a subadditive density on such that, for every polynomial of degree and with , every…
Weighted averages of arithmetic functions and applications to equidistribution and ergodic theory
Vitaly Bergelson, Michael Reilly, Florian K. Richter
For a wide range of functions , we establish a general result for estimating weighted averages of the form\[\mathbb{E}^{W}_{n \le N} f(\vartheta(n))…
An inverse theorem for sumsets of sets of positive density in the integers
Ethan Ackelsberg, Florian K. Richter
Let denote the natural density on the positive integers. We characterize all sets with positive density satisfying , under the assumption that th…
No Constant-Cost Protocol for Point--Line Incidence
Mika Göös, Nathaniel Harms, Florian K. Richter +1
Alice and Bob are given -bit integer pairs and , respectively, and they must decide if . We prove that the randomised communication complexity of this Poi…
Regularized Regression by Composition: Identifiability, Structured Penalization, and Statistical Guarantees for Multi-Flow Distributional Models
Safaa K. Kadhem
Regression by composition provides a flexible framework for constructing conditional distributions through sequential group actions. However, when multiple flows act on the same di…
A short proof of Erdős's conjecture
Bryna Kra, Joel Moreira, Florian K. Richter +1
We give a short proof of the fact that every set of natural numbers with positive upper Banach density contains the sum of two infinite sets. The approach simplifies earlier existi…