Seminar • Algorithms and Complexity— Additive Number Theory via Approximation by Regular Languages
Finn Lidbetter, Master’s candidate
David R. Cheriton School of Computer Science
The fundamental problem of additive number theory is to determine whether there exists an integer m such that every nonnegative integer (resp., every sufficiently large nonnegative integer) is the sum of at most m elements of S. If so, we call S an additive basis of order m (resp., an asymptotic additive basis of order m). If such an m exists, we also want to find the smallest such m.