1

New Sum-Product Estimates for Real and Complex Numbers

Balog, Antal, Roche-Newton, Oliver
Journal:
Discrete & Computational Geometry
Year:
2015
Language:
english
File:
PDF, 295 KB
english, 2015
3

New sum-product type estimates over finite fields

Roche-Newton, Oliver, Rudnev, Misha, Shkredov, Ilya D.
Journal:
Advances in Mathematics
Year:
2016
Language:
english
File:
PDF, 403 KB
english, 2016
4

If ( A + A )/( A + A ) is small, then the ratio set is large

Roche-Newton, Oliver
Journal:
Journal of the London Mathematical Society
Year:
2016
Language:
english
File:
PDF, 303 KB
english, 2016
5

If A + A is small then AAA is superquadratic

Roche-Newton, Oliver, Shkredov, Ilya D.
Journal:
Journal of Number Theory
Year:
2019
Language:
english
File:
PDF, 285 KB
english, 2019
6

Improved bounds on the set

Jones, Timothy G.F., Roche-Newton, Oliver
Journal:
Journal of Combinatorial Theory, Series A
Year:
2013
Language:
english
File:
PDF, 209 KB
english, 2013
8

Variations on the Sum-Product Problem II

Murphy, Brendan, Roche-Newton, Oliver, Shkredov, Ilya D.
Journal:
SIAM Journal on Discrete Mathematics
Year:
2017
Language:
english
File:
PDF, 240 KB
english, 2017
10

Variations on the Sum-Product Problem

Murphy, Brendan, Roche-Newton, Oliver, Shkredov, Ilya
Journal:
SIAM Journal on Discrete Mathematics
Year:
2015
Language:
english
File:
PDF, 264 KB
english, 2015
11

An improved sum-product estimate for general finite fields

Li, Liangpan, Roche-Newton, Oliver
Journal:
SIAM Journal on Discrete Mathematics
Year:
2011
Language:
english
File:
PDF, 151 KB
english, 2011
13

On the Minkowski distances and products of sum sets

Roche-Newton, Oliver, Rudnev, Misha
Journal:
Israel Journal of Mathematics
Year:
2015
Language:
english
File:
PDF, 229 KB
english, 2015
14

Sets with few distinct distances do not have heavy lines

Raz, Orit E., Roche-Newton, Oliver, Sharir, Micha
Journal:
Discrete Mathematics
Year:
2015
Language:
english
File:
PDF, 405 KB
english, 2015
16

On the size of the set AA+A

Roche-Newton, Oliver, Ruzsa, Imre Z., Shen, Chun-Yen, Shkredov, Ilya D.
Journal:
Journal of the London Mathematical Society
Year:
2018
Language:
english
File:
PDF, 271 KB
english, 2018
17

NEW RESULTS ON SUM-PRODUCT TYPE GROWTH OVER FIELDS

Murphy, Brendan, Petridis, Giorgis, Roche-Newton, Oliver, Rudnev, Misha, Shkredov, Ilya D.
Journal:
Mathematika
Year:
2019
Language:
english
File:
PDF, 546 KB
english, 2019