3 papers
math.NT2026
Pythagorean triples in level sets of completely multiplicative functions
Guilherme Azevedo, Joel Moreira
We show that given completely multiplicative functions taking values in the unit circle, there exist Pythagorean triples (i.e., integer solutions to )…
math.DS2026
Multipliers and Disjointness from Mixing
Sohail Farhangi, Joel Moreira, Rigoberto Zelada
In 2005, Parreau proved that if a measure preserving system is not strongly mixing then it contains a non-trivial factor that is disjoint from every strongly mixing system. Taking…
math.CO2024
Partition regularity of Pythagorean pairs
Nikos Frantzikinakis, Oleksiy Klurman, Joel Moreira
We address a core partition regularity problem in Ramsey theory by proving that every finite coloring of the positive integers contains monochromatic Pythagorean pairs, i.e., $x,y\…