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math.CO2026
-large sets are sets of nil-Bohr recurrence
Ryan Alweiss, Sohail Farhangi
A set of positive integers is -large if every two-coloring contains arbitrarily long monochromatic arithmetic progressions with common difference in . We prove that every…
math.CO2021
On The Partition Regularity of
Sohail Farhangi, Richard Magner
Csikvári, Gyarmati, and Sárközy showed that the equation is not partition regular (PR) over and asked if the equation is PR over . B…