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On the generalized Riemann zeta functions and the generalized Lambert transform. (English) Zbl 1186.11056

From the abstract: We derive multiple generating functions involving the generalized Riemann zeta function. We then introduce an interesting generalization of the Lambert transform. A connection between the generalized Lambert transform and the generalized Riemann function is given, and an inversion formula for this transform is obtained.

MSC:

11M41 Other Dirichlet series and zeta functions
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