On higher energy decompositions and the sum–product phenomenon

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SHAKAN, GEORGE. “On Higher Energy Decompositions and the sum–product Phenomenon”. Mathematical Proceedings of the Cambridge Philosophical Society, vol. 167, no. 3, 2018, pp. 599-17, https://doi.org/10.1017/s0305004118000506.
SHAKAN, G. (2018). On higher energy decompositions and the sum–product phenomenon. Mathematical Proceedings of the Cambridge Philosophical Society, 167(3), 599-617. https://doi.org/10.1017/s0305004118000506
SHAKAN G. On higher energy decompositions and the sum–product phenomenon. Mathematical Proceedings of the Cambridge Philosophical Society. 2018;167(3):599-617.
Refrences
Title Journal Journal Categories Citations Publication Date
On the size of k–fold sum and product sets of integers Journal of the American Mathematical Society
  • Science: Mathematics
2004
A low–energy decomposition theorem 2017
New results on sum–products in R 2016
Some new results on higher energies 2013
Few sums, many products Studia Scientiarum Mathematicarum Hungarica
  • Science: Mathematics
2003
Citations
Title Journal Journal Categories Citations Publication Date
Arithmetic combinatorics on Vinogradov systems

Transactions of the American Mathematical Society
  • Science: Mathematics
2 2020
Distribution of distances in positive characteristic Pacific Journal of Mathematics
  • Science: Mathematics
4 2020
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Science: Mathematics2
The category Science: Mathematics 2 is the most commonly referenced area in studies that cite this article.