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math.CA2023
Weak-type (1,1) inequality for discrete maximal functions and pointwise ergodic theorems along thin arithmetic sets
Leonidas Daskalakis
We establish weak-type bounds for the maximal function associated with ergodic averaging operators modeled on a wide class of thin deterministic sets . As a corollary we…
math.CA2022
Roth's Theorem and the Hardy--Littlewood majorant problem for thin subsets of primes
Leonidas Daskalakis
We introduce a wide class of deterministic subsets of primes of zero relative density and we prove Roth's Theorem in these sets, namely, we show that any subset of them with positi…