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math.CO2026
Quantitative concatenation for polynomial box norms
Noah Kravitz, Borys Kuca, James Leng
Using PET and quantitative concatenation techniques, we establish box-norm control with the "expected" directions for counting operators for general multidimensional polynomial pro…
math.CO2024
Corners with polynomial side length
Noah Kravitz, Borys Kuca, James Leng
A -polynomial corner, for a polynomial, is a triple of points for . In the case where has an…
math.CO2024
Multidimensional polynomial patterns over finite fields: bounds, counting estimates and Gowers norm control
Borys Kuca
We examine multidimensional polynomial progressions involving linearly independent polynomials in finite fields, proving power saving bounds for sets lacking such configurations. T…