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George Shakan
George Shakan
Verified email at illinois.edu
Title
Cited by
Cited by
Year
On higher energy decompositions and the sum–product phenomenon
G Shakan
Mathematical Proceedings of the Cambridge Philosophical Society 167 (3), 599-617, 2019
392019
Stronger sum-product inequalities for small sets
M Rudnev, G Shakan, I Shkredov
Proceedings of the American Mathematical Society 148 (4), 1467-1479, 2020
352020
Fractal solutions of dispersive partial differential equations on the torus
MB Erdoğan, G Shakan
Selecta Mathematica 25 (1), 11, 2019
332019
On the sum of dilations of a set
A Balog, G Shakan
arXiv preprint arXiv:1311.0422, 2013
202013
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
172017
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
132021
The Frobenius postage stamp problem, and beyond
A Granville, G Shakan
Acta Mathematica Hungarica 161 (2), 700-718, 2020
122020
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
102021
Breaking the 6/5 threshold for sums and products modulo a prime
G Shakan, ID Shkredov
arXiv preprint arXiv:1806.07091, 2018
102018
Sum of many dilates
G Shakan
arXiv preprint arXiv:1402.4721, 2014
102014
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
92023
Sum of dilates in vector spaces
A Balog, G Shakan
arXiv preprint arXiv:1410.8614, 2014
82014
An analytic approach to cardinalities of sumsets
D Matolcsi, IZ Ruzsa, G Shakan, D Zhelezov
Combinatorica 42 (2), 203-236, 2022
72022
Effective results on the size and structure of sumsets
A Granville, G Shakan, A Walker
Combinatorica 43 (6), 1139-1178, 2023
52023
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
42022
Monochromatic Hilbert cubes and arithmetic progressions
J Balogh, M Lavrov, G Shakan, AZ Wagner
arXiv preprint arXiv:1805.08938, 2018
32018
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
32016
Q-Polynomial Association Schemes with Irrational Eigenvalues
G Shakan, Y Xin
A Major Qualifying Project submitted to the Faculty of the Worcester …, 2012
32012
On the largest sum-free subset problem in the integers
G Shakan
arXiv preprint arXiv:2207.14210, 2022
22022
On distinct consecutive r-differences
J Li, G Shakan
Journal of Number Theory 199, 363-376, 2019
12019
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