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math.NT2023
Improved bounds for five-term arithmetic progressions
James Leng, Ashwin Sah, Mehtaab Sawhney
Let be the largest cardinality of a set in which does not contain elements in arithmetic progression. Then there exists a constant such t…
math.NT2023
Efficient Equidistribution of Nilsequences
James Leng
We give improved bounds for the equidistribution of (multiparameter) nilsequences subject to any degree filtration. The bounds we obtain are single exponential in dimension, improv…