Abstract. ζ(z) = 1 + ΣV(vz - 1 )-1 is a completely equivalent expression of the zeta function in terms of the non-power integers.
Introduction
The paper establishes identities for the zeta function by splitting the sum terms in accordance with whether the denominator is a perfect power or not and the geometric series identity allows the interesting forms to occur. I will be spending some time in the near future polishing up the paper for possible publication. In the mean time, please do feel free to contact me regarding this subject, particularly if you have a desire to get involved in this research or have something to add to it.
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