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- Title
ON THE WARING-GOLDBACH PROBLEM FOR CUBES.
- Authors
Brüden, Jörg; Kawada, Koichi
- Abstract
We prove that almost all natural numbers satisfying certain necessary congruence conditions can be written as the sum of two cubes of primes and two cubes of P2-numbers, where, as usual, we call a natural number a P2-number when it is a prime or the product of two primes. From this result we also deduce that every sufficiently large integer can be written as the sum of eight cubes of P2-numbers.
- Subjects
GOLDBACH conjecture; NUMBER theory; NATURAL numbers; PRIME numbers; CUBES; NUMERICAL solutions to equations; MATHEMATICAL analysis
- Publication
Glasgow Mathematical Journal, 2009, Vol 51, Issue 3, p703
- ISSN
0017-0895
- Publication type
Article
- DOI
10.1017/S0017089509990140