1

On sharp transitions in making squares

Croot, Ernie, Granville, Andrew, Pemantle, Robin, Tetali, Prasad
Journal:
Annals of Mathematics
Year:
2012
Language:
english
File:
PDF, 566 KB
english, 2012
2

SMOOTH NUMBERS IN SHORT INTERVALS

CROOT, ERNIE
Journal:
International Journal of Number Theory
Year:
2007
Language:
english
File:
PDF, 177 KB
english, 2007
3

On a combinatorial method for counting smooth numbers in sets of integers

Ernie Croot
Journal:
Journal of Number Theory
Year:
2007
Language:
english
File:
PDF, 161 KB
english, 2007
4

The abc conjecture and correctly rounded reciprocal square roots

Ernie Croot, Ren-Cang Li, Hui June Zhu
Journal:
Theoretical Computer Science
Year:
2004
Language:
english
File:
PDF, 253 KB
english, 2004
5

A Probabilistic Technique for Finding Almost-Periods of Convolutions

Ernie Croot, Olof Sisask
Journal:
Geometric And Functional Analysis
Year:
2010
Language:
english
File:
PDF, 347 KB
english, 2010
6

On sums and products in ℂ[x]

Ernie Croot, Derrick Hart
Journal:
The Ramanujan Journal
Year:
2010
Language:
english
File:
PDF, 470 KB
english, 2010
7

Polynomials and Primes in Generalized Arithmetic Progressions

Croot, Ernie, Lyall, Neil, Rice, Alex
Journal:
International Mathematics Research Notices
Year:
2015
Language:
english
File:
PDF, 188 KB
english, 2015
9

Long arithmetic progressions in critical sets

Ernie Croot
Journal:
Journal of Combinatorial Theory, Series A
Year:
2006
Language:
english
File:
PDF, 172 KB
english, 2006
10

On Rich Lines in Grids

Evan Borenstein, Ernie Croot
Journal:
Discrete & Computational Geometry
Year:
2010
Language:
english
File:
PDF, 384 KB
english, 2010
11

On a Certain Generalization of the Balog–Szemerédi–Gowers Theorem

Borenstein, Evan, Croot, Ernie
Journal:
SIAM Journal on Discrete Mathematics
Year:
2011
Language:
english
File:
PDF, 129 KB
english, 2011
12

h -Fold Sums from a Set with Few Products

Croot, Ernie, Hart, Derrick
Journal:
SIAM Journal on Discrete Mathematics
Year:
2010
Language:
english
File:
PDF, 202 KB
english, 2010
13

Sum-Product Inequalities with Perturbation

Backman, Spencer, Croot, Ernie, Hamel, Mariah, Hart, Derrick
Journal:
Integers
Year:
2011
Language:
english
File:
PDF, 209 KB
english, 2011
14

Complexity of inverting the Euler function

Contini, Scott, Croot, Ernie, Shparlinski, Igor E.
Journal:
Mathematics of Computation
Year:
2006
Language:
english
File:
PDF, 234 KB
english, 2006
15

Some Properties of Lower Level-Sets of Convolutions

CROOT, ERNIE
Journal:
Combinatorics Probability & Computing
Year:
2012
Language:
english
File:
PDF, 300 KB
english, 2012
16

Arithmetic Progressions in Sumsets and Lp -Almost-Periodicity

CROOT, ERNIE, ŁABA, IZABELLA, SISASK, OLOF
Journal:
Combinatorics Probability & Computing
Year:
2013
Language:
english
File:
PDF, 302 KB
english, 2013
17

Complexity of Inverting the Euler Function

Scott Contini, Ernie Croot and Igor E. Shparlinski
Journal:
Mathematics of Computation
Year:
2006
Language:
english
File:
PDF, 400 KB
english, 2006
19

Few products, many h-fold sums

Bush, Albert, Croot, Ernie
Journal:
International Journal of Number Theory
Year:
2018
Language:
english
File:
PDF, 272 KB
english, 2018