A Multiplicative Analogue of Schur's Tauberian Theorem
Canadian mathematical bulletin, Tome 46 (2003) no. 3, pp. 473-480

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DOI

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.
DOI : 10.4153/CMB-2003-046-5
Mots-clés : 11N45
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
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     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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