3 papers
math.AP2026
The Erdős similarity conjecture and Rajchman measures
A. Iosevich, N. Kulkarni, N. Mora Cuéllar +2
Let support a probability measure whose Fourier--Stieltjes transform tends to zero at infinity. We prove that, for every , there is a cl…
math.CA2026
The Erdős Similarity Conjecture for Two-Fold Sumsets with a Geometric Summand
N. Mora Cuellar, A. Iosevich, N. Kulkarni +2
We settle a major case in the two-set regime of the Erdős similarity conjecture: the sum of a geometric sequence and an arbitrary infinite set is never measure universal. Here a se…
math.NT2026
Additive and multiplicative densities, prime valuations and symbolic models
Natalia Mora Cuellar, Ignacio Rojas Aravena, Alexia Yavicoli
We study additive and multiplicative densities of subsets of along prescribed Følner sequences. We prove that additive upper density one implies multiplicative density one alo…