Additive number theory investigates the ways in which integers can be expressed as sums of elements drawn from prescribed sets. Central to this field are representation functions, which count the ...

A new approach has chipped away at a famously unsolved math problem. The Erdos-Turan conjecture in additive combinatorics is one of the longest lasting unsolved problems. The two mathematicians used ...

Efficient congruencing is a powerful method in additive number theory that refines the analysis of Diophantine systems by exploiting congruence relations among variables. By organising counting ...