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Abstract
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International Journal of Mathematics and Mathematical Sciences 
Volume 23 (2000), Issue 1, Pages 77-80
doi:10.1155/S0161171200001885

On the representation of m as ∑k=−nnϵkk

Lane Clark

Department of Mathematics, Southern Illinois University at Carbondale, Carbondale 62901-4408, IL, USA

Received 3 September 1998

Abstract

Let A(n,m) be the number of solutions of ∑k=−nnϵkk=m where each ϵk∈{0,1}. We determine the asymptotic behavior of A(n,m) for m=o(n3/2), extending results of van Lint and of Entringer.