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A Multiplicative Analogue of Schur's Tauberian Theorem

Published:2003-09-01
Printed: Sep 2003
• Karen Yeats
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Abstract

A theorem concerning the asymptotic behaviour of partial sums of the coefficients of products of Dirichlet series is proved using properties of regularly varying functions. This theorem is a multiplicative analogue of Schur's Tauberian theorem for power series.
 MSC Classifications: 11N45 - Asymptotic results on counting functions for algebraic and topological structures