Publications (34)
Progression-free sets in Z_4^n are exponentially small
Ernie Croot, Vsevolod Lev, Peter Pach
Arithmetic structures in smooth subsets of F_p
Ernie Croot
Sharp Transitions in Making Squares
Ernie Croot, Andrew Granville, Robin Pemantle +1
k-term Arithmetic Progressions in Sumsets
Ernie Croot
Some properties of lower level-sets of convolutions
Ernie Croot
Order-preserving Freiman isomorphisms
Gagik Amirkhanyan, Albert Bush, Ernie Croot
On Non-intersecting Arithmetic Progressions
Ernie Croot
On rich lines in grids
Evan Borenstein, Ernie Croot
Subsets of F_p^n without three term arithmetic progressions have several large Fourier coefficients
Ernie Croot
Polynomials and Primes in Generalized Arithmetic Progressions (Revised Version)
Ernie Croot, Neil Lyall, Alex Rice
A Combinatorial Method for Counting Smooth Numbers in Sets of Integers
Ernie Croot
A Structure Theorem for Positive Density Sets Having the Minimal Number of 3-term Arithmetic Progressions
Ernie Croot
An application of linear programming duality to discrete Fourier analysis and additive problems
Ernie Croot
On the Structure of Sets with Few Three-Term Arithmetic Progressions
Ernie Croot
Sum-product inequalities with perturbation
Spencer Backman, Ernie Croot, Derrick Hart +1
Long Arithmetic Progressions in Critical Sets
Ernie Croot
Few products, many h-fold sums
Albert Bush, Ernie Croot
On equitable zero sums
Ernie Croot, Christian Elsholtz
On Thin Sets of Primes Expressible as Sumsets
Ernie Croot, Christian Elsholtz
On sums and products in C[x]
Ernie Croot, Derrick Hart
k-fold sums from a set with few products
Ernie Croot, Derrick Hart
The structure of critical sets for F_p arithmetic progressions
Ernie Croot
A probabilistic technique for finding almost-periods of convolutions
Ernie Croot, Olof Sisask
Sums of the Form 1/x_1^k + ... + 1/x_n^k Modulo a Prime
Ernie Croot
A Purely Combinatorial Approach to Simultaneous Polynomial Recurrence Modulo 1
Ernie Croot, Neil Lyall, Alex Rice
On the Oscillations of Multiplicative Functions Taking Values +/- 1
Ernie Croot
Arithmetic progressions in sumsets and L^p-almost-periodicity
Ernie Croot, Izabella Laba, Olof Sisask
On a certain generalization of the Balog-Szemeredi-Gowers Theorem
Ernie Croot, Evan Borenstein
On Sumsets and Spectral Gaps
Ernie Croot, Tomasz Schoen
The Minimal Number of Three-Term Arithmetic Progressions Modulo a Prime Converges to a Limit
Ernie Croot
Complexity of Inverting the Euler Function
Scott Contini, Ernie Croot, Igor Shparlinski
Memory Efficient Arithmetic
Ernie Croot
A new proof of Roth's theorem on arithmetic progressions
Ernie Croot, Olof Sisask
On the Decay of the Fourier Transform and Three Term Arithmetic Progressions
Ernie Croot