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Multiplicity of Σk Σs k−s = 1 γ = Σs f (( τ, σ, ζv )(s)) ζ(z) = 1 + ΣV(vz - 1 )-1

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Introduction 2.Reciprocal Power Multiplicity 3.Formula for Euler's Gamma 4.Zeta Function by Non-Powers


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Introduction - The html code for the math on this page was initially generated by TeX to HTML (TtH) using the "-u" switch for uni-code symbols, which seems to be the only way it stands a chance in both IE and FireFox. I like FireFox, but I cannot get the TtH's output tables to float and flow nicely in the middle of a text paragraph.

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2 A number theoretic basis for the multiplicty of



k=2 


s=2 
k−s = 1
and a functional inflection equating zeta and zeta-like infinite sums using terms over the integer powers versus equivalent sums over the non-power terms.


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3 Euler's constant, γ, as a function of the non-power zeta function, ζv(s), and the number, τ(s), and sum, σ(s), of divisors, over all positive integers, s > 1.

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4 Zeta Function, ζ(z), Identities by the Non-Powers.

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