On higher energy decompositions and the sum–product phenomenon G Shakan Mathematical Proceedings of the Cambridge Philosophical Society 167 (3), 599-617, 2019 | 39 | 2019 |
Stronger sum-product inequalities for small sets M Rudnev, G Shakan, I Shkredov Proceedings of the American Mathematical Society 148 (4), 1467-1479, 2020 | 35 | 2020 |
Fractal solutions of dispersive partial differential equations on the torus MB Erdoğan, G Shakan Selecta Mathematica 25 (1), 11, 2019 | 34 | 2019 |
On the sum of dilations of a set A Balog, G Shakan arXiv preprint arXiv:1311.0422, 2013 | 20 | 2013 |
A lower bound for the least prime in an arithmetic progression J Li, K Pratt, G Shakan The Quarterly Journal of Mathematics 68 (3), 729-758, 2017 | 17 | 2017 |
On distinct consecutive differences I Ruzsa, G Shakan, J Solymosi, E Szemerédi Combinatorial and Additive Number Theory IV: CANT, New York, USA, 2019 and …, 2021 | 13 | 2021 |
The Frobenius postage stamp problem, and beyond A Granville, G Shakan Acta Mathematica Hungarica 161 (2), 700-718, 2020 | 12 | 2020 |
Quantitative Hilbert irreducibility and almost prime values of polynomial discriminants TC Anderson, A Gafni, RJ Lemke Oliver, D Lowry-Duda, G Shakan, ... International Mathematics Research Notices 2023 (3), 2188-2214, 2023 | 10 | 2023 |
On generating functions in additive number theory, II: lower-order terms and applications to PDEs J Brandes, ST Parsell, C Poulias, G Shakan, RC Vaughan Mathematische Annalen 379, 347-376, 2021 | 10 | 2021 |
Breaking the 6/5 threshold for sums and products modulo a prime G Shakan, ID Shkredov arXiv preprint arXiv:1806.07091, 2018 | 10 | 2018 |
Sum of many dilates G Shakan arXiv preprint arXiv:1402.4721, 2014 | 10 | 2014 |
An analytic approach to cardinalities of sumsets D Matolcsi, IZ Ruzsa, G Shakan, D Zhelezov Combinatorica 42 (2), 203-236, 2022 | 8 | 2022 |
Sum of dilates in vector spaces A Balog, G Shakan arXiv preprint arXiv:1410.8614, 2014 | 8 | 2014 |
Effective results on the size and structure of sumsets A Granville, G Shakan, A Walker Combinatorica 43 (6), 1139-1178, 2023 | 5 | 2023 |
A Weighted Prékopa–Leindler Inequality and Sumsets with Quasicubes B Green, D Matolcsi, I Ruzsa, G Shakan, D Zhelezov Analysis at Large: Dedicated to the Life and Work of Jean Bourgain, 125-129, 2022 | 5 | 2022 |
Monochromatic Hilbert cubes and arithmetic progressions J Balogh, M Lavrov, G Shakan, AZ Wagner arXiv preprint arXiv:1805.08938, 2018 | 3 | 2018 |
A generalization of the Schur–Siegel–Smyth trace problem K Pratt, G Shakan, A Zaharescu Journal of Mathematical Analysis and Applications 1 (436), 489-500, 2016 | 3 | 2016 |
Q-Polynomial Association Schemes with Irrational Eigenvalues G Shakan, Y Xin A Major Qualifying Project submitted to the Faculty of the Worcester …, 2012 | 3 | 2012 |
On the largest sum-free subset problem in the integers G Shakan arXiv preprint arXiv:2207.14210, 2022 | 2 | 2022 |
On distinct consecutive r-differences J Li, G Shakan Journal of Number Theory 199, 363-376, 2019 | 1 | 2019 |