additive number theory

== English == === Noun === additive number theory (uncountable) (number theory) The subfield of number theory concerning the behaviour of sumsets (integer sets added to each other elementwise). 1966 [Macmillan], W. E. Deskins, Abstract Algebra, 1995, Dover, page 152, One of the famous theorems of additive number theory states that each positive integer is expressible in at least one way as the sum of the squares of not more than four positive integers. ==== Translations ==== === See also === combinatorial number theory geometry of numbers multiplicative number theory === Further reading === Combinatorial number theory on Wikipedia.Wikipedia Geometry of numbers on Wikipedia.Wikipedia