1 citations · 1 across the 4 of their papers we have counts for
5 papers
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 )…
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…
Partition regularity of generalized Pythagorean pairs
Nikos Frantzikinakis, Oleksiy Klurman, Joel Moreira
We address partition regularity problems for homogeneous quadratic equations. A consequence of our main results is that, under natural conditions on the coefficients , for a…
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\…
Monochromatic sums and products in
Joel Moreira
An old question in Ramsey theory asks whether any finite coloring of the natural numbers admits a monochromatic pair . We answer this question affirmatively in a strong…