There has been quite a lot of recent work in additive
combinatorics seeking to develop our understanding of the 'higher
Fourier analysis' suggested by the work of Gowers on Szemeredi's
theorem and the work of various ergodic theorists (Host, Kra...
There has been quite a lot of recent work in additive
combinatorics seeking to develop our understanding of the 'higher
Fourier analysis' suggested by the work of Gowers on Szemeredi's
theorem and the work of various ergodic theorists (Host, Kra...
It is an introduction to the topic. We would present several
inverse theorems in additive number theory (starting with
Freiman's) and some overview about their applications. Next, we
discuss the connection between some of these and problems...
It is an introduction to the topic. We would present a proof of
the quantitative sum-product in F^p and the proof of the
exponential sum bound + an overview of what's around.
