Letkbe a fixed integer,k≥2, and suppose thatε>0. We show that every sufficiently large integerncan be expressed in the formn=m1+m2+...+mkwhered(m i)>n(log2-ε)(1-1/k)/loglognfor alli. This is best possible, since there are infinitely many exceptionalnif the factor log2-εis replaced by log2+ε.
ASJC Scopus subject areas
- Algebra and Number Theory