A Multiplicative Analogue of Schur's Tauberian Theorem
Canadian mathematical bulletin, Tome 46 (2003) no. 3, pp. 473-480
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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.
Yeats, Karen. A Multiplicative Analogue of Schur's Tauberian Theorem. Canadian mathematical bulletin, Tome 46 (2003) no. 3, pp. 473-480. doi: 10.4153/CMB-2003-046-5
@article{10_4153_CMB_2003_046_5,
author = {Yeats, Karen},
title = {A {Multiplicative} {Analogue} of {Schur's} {Tauberian} {Theorem}},
journal = {Canadian mathematical bulletin},
pages = {473--480},
year = {2003},
volume = {46},
number = {3},
doi = {10.4153/CMB-2003-046-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2003-046-5/}
}
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