Number Theory


A Treaty of Symmetric Function Part II Sums of Power for an Arbitrary Arithmetic Progression for Real Power-P

Authors: Mohd Shukri Abd Shukor

Sums of Power mainly deal with positive integer power p (i.e. p ε+ Z). In this paper, I would like to show that the sums of power that I had formulated in paper part I [1] also can be applied to the non-integer power p. The sums of power for positive non-integers (i.e. SPPNI) in this paper still adopting the same general sums of power formulation. However, the value of m has no bound and it is used as precision control. The larger the value of m used, the more accuracy the result would be.

Comments: 18 pages

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Submission history

[v1] 15 Dec 2010

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