32 citations · 208 across the 38 of their papers we have counts for
7 papers · 1 filter
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…
Sums and products in sets of positive density
Florian K. Richter
We develop an analytic approach that draws on tools from Fourier analysis and ergodic theory to study Ramsey-type problems involving sums and products in the integers. Suppose …
Problems on infinite sumset configurations in the integers and beyond
Bryna Kra, Joel Moreira, Florian K. Richter +1
In contrast to finite arithmetic configurations, relatively little is known about which infinite patterns can be found in every set of natural numbers with positive density. Buildi…
A combinatorial proof of a sumset conjecture of Furstenberg
Daniel Glasscock, Joel Moreira, Florian K. Richter
We give a new proof of a sumset conjecture of Furstenberg that was first proved by Hochman and Shmerkin in 2012: if is irrational and and are -…
A proof of a sumset conjecture of Erdős
Joel Moreira, Florian Karl Richter, Donald Robertson
In this paper we show that every set with positive density contains for some pair of infinite subsets of , settling a conjecture of E…
Revisiting the nilpotent polynomial Hales-Jewett theorem
John H. Johnson, Florian Karl Richter
Answering a question posed by Bergelson and Leibman in [6], we establish a nilpotent version of the polynomial Hales-Jewett theorem that contains the main theorem in [6] as a speci…
Large subsets of discrete hypersurfaces in contain arbitrarily many collinear points
Joel Moreira, Florian Karl Richter
In 1977 L.T. Ramsey showed that any sequence in with bounded gaps contains arbitrarily many collinear points. Thereafter, in 1980, C. Pomerance provided a density ve…