A new class of minimal asymptotic bases

Abstract: A set

A

of nonnegative integers is an asymptotic basis of order

h

if every sufficiently large integer can be represented as the sum of

h

not necessarily distinct elements of

A

. The asymptotic basis

A

is minimal if removing any element of

A

destroys every representation of infinitely many integers, and so

A s e t m i n u s a

is not an asymptotic basis of order

h

for all

a i n A

. In this paper, a new class of minimal asymptotic bases is constructed.

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