|
Note on arithmetic convolution equations
Author(s):
Michal
Feckan
Journal:
Proc. Amer. Math. Soc.
136
(2008),
453-459.
MSC (2000):
Primary 11A25
Posted:
November 2, 2007
Retrieve article in:
PDF
Abstract |
References |
Similar articles |
Additional information
Abstract:
We investigate the solvability of polynomial equations on the -algebra of arithmetic functions .
References:
-
- [1]
- H. BILLER: Analyticity and naturality of the multi-variable functional calculus, TU Darmstadt Preprint 2332, 2004; http:wwwbib.mathematik.tu-darmstadt.de/Math-Net /Preprints/Listen/files/2332.ps.gz.
- [2]
- T. CARROLL AND A. A. GIOIA: Roots of multiplicative functions, Compositio Mat. 65 (1988), 349-358. MR 932075 (89c:11007)
- [3]
- M. J. COHEN: Advanced problem 5293, Amer. Math. Monthly 72 (1965), 555; Solution, ibid 73 (1966), 553-554.
- [4]
- P.-O. DEHAYE: On the structure of the group of multiplicative arithmetical functions, Bull. Belgian Math. Soc. 9 (2002), 15-21. MR 1905645 (2003d:11009)
- [5]
- J. GLÖCKNER, L. G. LUCHT AND Š. PORUBSKÝ: Solutions to arithmetic convolution equations, Proc. Amer. Math. Soc., to appear. MR 2286069
- [6]
- P. HAUKKANEN: Arithmetical equations involving semi-multiplicative functions and the Dirichlet convolution, Rend. Mat. Appl., VII. Ser. 8 (1988), 511-517. MR 1032719 (90k:11007)
- [7]
- P. HEWITT AND J. H. WILLIAMSON: Note on absolutely convergent Dirichlet series, Proc. Amer. Math. Soc. 8 (1957), 863-868. MR 0090680 (19:851b)
- [8]
- Š. PORUBSKÝ: Structure of the group of quasi-multiplicative arithmetical functions, Acta Arith. Paed. Agiensis, Sect. Math. 30 (2003), 133-145. MR 2054723 (2005b:11006)
- [9]
- M. V. SUBBARAO: A class of arithmetical functions, Nieuw Archief voor Wiskunde (3) 15 (1967), 211-217. MR 0223293 (36:6341)
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(2000):
11A25
Retrieve articles in all Journals with MSC
(2000):
11A25
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, Stefánikova 49, 814 73 Bratislava, Slovakia
Email:
Michal.Feckan@fmph.uniba.sk
DOI:
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
Posted:
November 2, 2007
Additional Notes:
This work was supported by the Grant VEGA-SAV 2/7140/27.
Communicated by:
Jonathan M. Borwein
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
|