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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Note on arithmetic convolution equations


Author: Michal Feckan
Journal: Proc. Amer. Math. Soc. 136 (2008), 453-459
MSC (2000): Primary 11A25
Published electronically: November 2, 2007
MathSciNet review: 2358483
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Abstract: We investigate the solvability of polynomial equations on the $ \mathbb{C}$-algebra of arithmetic functions $ g : \mathbb{N}\to\mathbb{C}$.


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Additional Information

Michal Feckan
Affiliation: Department of Mathematical Analysis and Numerical Mathematics, Comenius University, Mlynská dolina, 842 48 Bratislava, Slovakia; and Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovakia
Email: Michal.Feckan@fmph.uniba.sk

DOI: http://dx.doi.org/10.1090/S0002-9939-07-09162-9
PII: S 0002-9939(07)09162-9
Keywords: Arithmetic functions, Dirichlet convolution
Received by editor(s): December 1, 2006
Published electronically: November 2, 2007
Additional Notes: This work was supported by the Grant VEGA-SAV 2/7140/27.
Communicated by: Jonathan M. Borwein
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.