Memory Efficient Arithmetic - Ernie Croot (CoRR, 2003)

The abc conjecture and correctly rounded reciprocal square roots. - Ernie Croot; Ren-Cang Li; Hui June Zhu (Theor. Comput. Sci., 2004)

Long arithmetic progressions in critical sets. - Ernie Croot (J. Comb. Theory A, 2006)

Complexity of inverting the Euler function. - Scott Contini; Ernie Croot; Igor E. Shparlinski (Math. Comput., 2006)

Running Time Predictions for Factoring Algorithms. - Ernie Croot; Andrew Granville; Robin Pemantle; Prasad Tetali (ANTS, 2008)

On the Structure of Sets with Few Three-Term Arithmetic Progressions. - Ernie Croot (Electron. J. Comb., 2010)

On Rich Lines in Grids. - Evan Borenstein; Ernie Croot (Discret. Comput. Geom., 2010)

h-Fold Sums from a Set with Few Products. - Ernie Croot; Derrick Hart (SIAM J. Discret. Math., 2010)

Sum-Product Inequalities With Perturbation. - Spencer Backman; Ernie Croot; Mariah Hamel; Derrick Hart (Integers, 2011)

On a Certain Generalization of the Balog-Szemerédi-Gowers Theorem. - Evan Borenstein; Ernie Croot (SIAM J. Discret. Math., 2011)

Some Properties of Lower Level-Sets of Convolutions. - Ernie Croot (Comb. Probab. Comput., 2012)

Deterministic methods to find primes. - Terence Tao; Ernest Croot III; Harald Helfgott (Math. Comput., 2012)

Arithmetic Progressions in Sumsets and Lp -Almost-Periodicity. - Ernie Croot; Izabella Laba; Olof Sisask (Comb. Probab. Comput., 2013)

Threshold results for the inventory cycle offsetting problem. - Ernest Croot III; Kai Huang (Int. J. Math. Oper. Res., 2013)

Sets of rich lines in general position. - Gagik Amirkhanyan; Albert Bush; Ernest Croot III; Chris Pryby (J. Lond. Math. Soc., 2017)

Order-Preserving Freiman Isomorphisms. - Gagik Amirkhanyan; Albert Bush; Ernie Croot (Integers, 2018)