In 1942 Mann solved a famous problem, the *\alpha+\beta* conjecture, about the lower bound of the Shnirel'man density of sums of sets of positive integers. In 1945, Dyson generalized Mann's theorem and obtained a lower bound for the Shnirel'man density of rank *r* sumsets. His proof introduced the Dyson transform,... Show more

September 6, 2024

Loading full text...

Similar articles

Loading recommendations...

x1

Additive number theory and the Dyson transform

Click on play to start listening