Relation between sum of 2mth powers and polynomials of triangular numbers

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Relation between sum of 2mth powers and polynomials of triangular numbers

Let Ф (m, k)(n) denote the number of representations of an integer n as a sum of k 2mth powers and Ψ (m, k)(n) denote the number of representations of an integer n as a sum of k polynomial Pm(γ), where γ is a triangular number. We show that Ф (2, k)(8n + k) = 2k Ψ(2,k) (n) for 1 ≤ k ≤ 7. A general r...

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Bibliographic Details
Main Authors:	Mohamat Johari, Mohamat Aidil, Mohd Atan, Kamel Ariffin, Sapar, Siti Hasana
Format:	Article
Language:	English
Published:	Pushpa Publishing House 2014
Online Access:	http://psasir.upm.edu.my/id/eprint/35199/ http://psasir.upm.edu.my/id/eprint/35199/1/Relation%20between%20sum%20of%202mth%20powers%20and%20polynomials%20of%20triangular%20numbers.pdf

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