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arXiv · 1512.00627

An introduction to higher energies and sumsets

Ilya D. Shkredov
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Abstract

These notes basically contain a material of two mini--courses which were read in Göteborg in April 2015 during the author visit of Chalmers & Göteborg universities and in Beijing in November 2015 during "Chinese--Russian Workshop on Exponential Sums and Sumsets". The article is a short introduction to a new area of Additive Combinatorics which is connected which so--called the higher sumsets as well as with the higher energies. We hope the notes will be helpful for a reader who is interested in the field.

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Ilya D. Shkredov. 2015-12-02. An introduction to higher energies and sumsets. https://arxiv.org/abs/1512.00627

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