2015/12/02 by Ilya D. Shkredov, Shkredov, Ilya D. · 1 citation
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #math.CO #math.NT
paper · pdf · doi:10.48550/arxiv.1512.00627
32 pages
arxiv created 2015/12/02 · arxiv updated 2015/12/03
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.