3 papers
math.NT2026
Szemerédi's Theorem Along Cantor Sets of Integers
Alex Burgin, Anastasios Fragkos, Michael T. Lacey +2
Let be Cantor set of integers, that is a set of integers with restricted digits modulo a base , and suppose is one of the restricted digit…
math.DS2026
Integer Cantor Sets: Arithmetic Combinatorial Properties
Alex Burgin, Anastasios Fragkos, Michael T. Lacey +2
Cantor sets of integers have a rich set of arithmetic combinatorial properties. We consider classical Cantor sets, with a base and a fixed set of allowed digits. For such sets, we…
math.CA2025
Weighted Weak Type estimates for non-integral Square Functions
Dario Mena, Maria Carmen Reguera, Luz Roncal
We provide quantitative weighted weak type estimates for non-integral square functions in the critical case in terms of the and reverse Hölder constants associated to…