6533b826fe1ef96bd128510a
RESEARCH PRODUCT
Thin Bases of Order Two
Gerd Hofmeistersubject
Discrete mathematicsSet (abstract data type)Algebra and Number TheoryBasis (linear algebra)Order (group theory)ArithmeticMathematicsdescription
AbstractA set A⊆N0 is called a basis of order two if A+A≔{a+a′∣a, a′∈A}=N0. If n∈N then A(n) denotes the number of a∈A with 1⩽a⩽n. In this paper bases A, B, C of order two are given such thatlimA(n)n=253,limB(n)n=72andlimC(n)n=101653.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-01-01 | Journal of Number Theory |