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On the representation of m as ∑ k = − n n ϵ k k

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  • Lane Clark

Abstract

Let A ( n , m ) be the number of solutions of ∑ k = − n n ϵ k k = m where each ϵ k ∈ { 0 , 1 } . We determine the asymptotic behavior of A ( n , m ) for m = o ( n 3 / 2 ) , extending results of van Lint and of Entringer.

Suggested Citation

  • Lane Clark, 2000. "On the representation of m as ∑ k = − n n ϵ k k," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 23, pages 1-4, January.
    • Handle: RePEc:hin:jijmms:836138
    DOI: 10.1155/S0161171200001885
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