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Tauberian Theorems on Generalised Lambert's Series


     

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In what follows it is supposed that the half-plane of convergence is σ>0 and that s=ξ→0 through positive real values. The object of this paper is to prove for the series (1) the analogue of the following theorems for Dirichlets' series.
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  • Tauberian Theorems on Generalised Lambert's Series

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Abstract


In what follows it is supposed that the half-plane of convergence is σ>0 and that s=ξ→0 through positive real values. The object of this paper is to prove for the series (1) the analogue of the following theorems for Dirichlets' series.