Asymptotic basis
From Encyclopedia of Mathematics
asymptotic basis of order 
A sequence of natural numbers and zero, which as a result of its summation repeated 
times yields all sufficiently large natural numbers. The number 
is called the order of the asymptotic basis. Thus, the sequence of prime numbers is an asymptotic basis of order 4 (I.M. Vinogradov, 1937); the sequence of cubes of natural numbers is an asymptotic basis of order 7 (Yu.V. Linnik, 1942).
Comments
See also Waring problem; Goldbach problem.
How to Cite This Entry:
Asymptotic basis. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Asymptotic_basis&oldid=16971
Asymptotic basis. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Asymptotic_basis&oldid=16971
This article was adapted from an original article by B.M. Bredikhin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article