Journal Menu

Abstracting and Indexing
Aims and Scope
Article Processing Charges
Author Guidelines
Bibliographic Information
Contact Information
Editorial Board
Editorial Workflow
Reviewers Acknowledgment
Subscription Information

Abstract
Full-Text PDF

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

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.