additive combinatorics

== English == === Etymology === Coined circa early 2000s by Australian-American mathematician Terence Tao for a rapidly developing field growing out of combinatorial number theory, named differently to reflect a changed emphasis in the problems being studied. === Noun === additive combinatorics (uncountable) (mathematics) A subbranch of combinatorics that concerns additive problems expressed using sumsets. 2007, Andrew Granville, Additive Combinatorics, American Mathematical Society, [1]. ==== Synonyms ==== (discipline that concerns combinatorics problems expressed using sumsets): combinatorial number theory ==== Translations ==== === See also === additive number theory combinatorics === References === === Further reading === Restricted sumset on Wikipedia.Wikipedia Freiman's theorem on Wikipedia.Wikipedia Plünnecke–Ruzsa inequality on Wikipedia.Wikipedia Ruzsa triangle inequality on Wikipedia.Wikipedia