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Multiplicative Functions from Riemann Zeta Function Products
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In interpreting recent Euler products we are led to theorems concerning the multiplicative function w(m,k) = ∏(1/1-pi-m ai) with k = ∏ piai
For this, we give three related generation functions and show also it is related to various weighted summations over particular factorizations of positive integer k.
Keywords
10K20 Arithmetic Functions (Primary Classification) 30B50, 40A20, 40A30, 10J25, 10H05, 05A19, 10A50.
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