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A Multiplicative Analogue of Schur's Tauberian Theorem |
Canad. Math. Bull. 46(2003), 473-480
E-Published:
2003-09-01
Printed: Sep 2003
Printed: Sep 2003
- Karen Yeats
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 |