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math.NT2024
Improving Behrend's construction: Sets without arithmetic progressions in integers and over finite fields
Christian Elsholtz, Zach Hunter, Laura Proske +1
We prove new lower bounds on the maximum size of subsets or not containing three-term arithmetic progressions. In the setting…
math.NT2022
Sárközy's Theorem in Various Finite Field Settings
Anqi Li, Lisa Sauermann
In this paper, we strengthen a result by Green about an analogue of Sarkozy's theorem in the setting of polynomial rings . In the integer setting, for a given poly…