G. Shakan

Most-cited papers

On higher energy decompositions and the sum–product phenomenon
G. Shakan
2018Mathematical Proceedings of the Cambridge Philosophical Society38 citations Open access
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Stronger sum-product inequalities for small sets
M. Rudnev, I. Shkredov, G. Shakan
2018Proceedings of the American Mathematical Society37 citations Open access
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A lower bound for the least prime in an arithmetic progression
Jun-Xian Li, Kyle Pratt, G. Shakan
201622 citations
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Quantitative Hilbert Irreducibility and Almost Prime Values of Polynomial Discriminants
T. Anderson, A. Gafni, Robert Lemke Oliver, David Lowry-Duda +2 more
202121 citations Open access
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The Frobenius postage stamp problem, and beyond
Andrew Granville, G. Shakan
2020Acta Mathematica Hungarica19 citations Open access
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On the Sum of Dilations of a Set
A. Balog, G. Shakan
201318 citations Open access
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Effective Results on the Size and Structure of Sumsets
A. Granville, G. Shakan, A. Walker
2021Combinatorica15 citations Open access
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On Distinct Consecutive Differences
Imre Z. Ruzsa, G. Shakan, J. Solymosi, Endre Szemer'edi
2005Springer Proceedings in Mathematics & statistics15 citations Open access
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An Analytic Approach to Cardinalities of Sumsets
D'avid Matolcsi, I. Ruzsa, G. Shakan, D. Zhelezov
2020Combinatorica13 citations Open access
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A lower bound for the size of the sum of dilates
G. Shakan
20149 citations
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A Weighted Prékopa-Leindler inequality and sumsets with quasicubes
B. Green, D'avid Matolcsi, I. Ruzsa, G. Shakan +1 more
20208 citations
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Breaking the 6/5 threshold for sums and products modulo a prime
G. Shakan, I. Shkredov
20188 citations
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Sum of Many Dilates
G. Shakan
2014Combinatorics, probability & computing7 citations Open access
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Sum of dilates in vector spaces
A. Balog, G. Shakan
20146 citations
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Managing Costa Rica ’ s Waste : Recommendations for a Municipal Solid Waste Management Plan
Dhia Ben-Haddej, Alyce Buchenan, A. Owen, G. Shakan
20104 citations
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Monochromatic Hilbert Cubes and Arithmetic Progressions
J. Balogh, M. Lavrov, G. Shakan, Adam Zsolt Wagner
2018Electronic Journal of Combinatorics3 citations Open access
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On the largest sum-free subset problem in the integers
G. Shakan
20222 citations
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Swimming in the Sun
Daniel Nyrén, G. Shakan, K. Woodward, R. Worsman
20082 citations
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Explicit RIP matrices: an update
Kevin Ford, D. Kutzarova, G. Shakan
2021Acta Mathematica Hungarica1 citations Open access
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On generating functions in additive number theory, II: lower-order terms and applications to PDEs
J. Brandes, S. Parsell, C. Poulias, G. Shakan +1 more
2020Mathematische Annalen1 citations Open access
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On distinct consecutive r-differences
Jun-Xian Li, G. Shakan
2017Journal of Number Theory1 citations Open access
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A generalization of the Schur-Siegel-Smyth trace problem
Kyle Pratt, G. Shakan, A. Zaharescu
20151 citations Open access
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A bound for the size of the sum of dilates
G. Shakan
20141 citations
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Retraction notice to “A generalization of the Schur-Siegel-Smyth trace problem” [Journal of Mathematical Analysis and Applications 436 (1) (2016) 489–500]
Kyle Pratt, G. Shakan, A. Zaharescu
2023Journal of Mathematical Analysis and Applications0 citations Open access
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A Large Gap in a Dilate of a Set
G. Shakan
2020SIAM Journal on Discrete Mathematics0 citations Open access
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C O ] 4 O ct 2 01 9 On distinct consecutive differences
I. Ruzsa, G. Shakan, J. Solymosi, E. Szemerédi
20190 citations
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Fractal solutions of dispersive partial differential equations on the torus
M. Erdogan, G. Shakan
2019Selecta Mathematica0 citations
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The sum-product problem
G. Shakan
20190 citations
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