3 citations · 7 across the 4 of their papers we have counts for
6 papers · 1 filter
Another proof of the -inverse theorem
Sarah Peluse
We give a new and shorter proof of a quantitative inverse theorem for the Gowers -norm in the setting of high-dimensional vector spaces over finite fields.
Bounds in a popular multidimensional nonlinear Roth theorem
Sarah Peluse, Sean Prendiville, Xuancheng Shao
A nonlinear version of Roth's theorem states that dense sets of integers contain configurations of the form , , . We obtain a multidimensional version of this result…
Effective bounds for Roth's theorem with shifted square common difference
Sarah Peluse, Ashwin Sah, Mehtaab Sawhney
Let be a subset of avoiding the nontrivial progressions . We prove that , where is the -fold iterated…
Bounds for sets with no polynomial progressions
Sarah Peluse
Let be polynomials with distinct degrees, each having zero constant term. We show that any subset of with no nontrivial progress…
On the polynomial Szemerédi theorem in finite fields
Sarah Peluse
Let be any linearly independent polynomials with zero constant term. We show that there exists a such that any subset of of siz…
A Generalized Family of Multidimensional Continued Fractions: TRIP Maps
Krishna Dasaratha, Laure Flapan, Thomas Garrity +5
Most well-known multidimensional continued fractions, including the Mönkemeyer map and the triangle map, are generated by repeatedly subdividing triangles. This paper constructs a…