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On the Order of Magnitude of the Divisor Function.
- Source :
- Acta Mathematica Sinica; Apr2006, Vol. 22 Issue 2, p377-382, 6p
- Publication Year :
- 2006
-
Abstract
- Let $${\fancyscript D}$$ be an increasing sequence of positive integers, and consider the divisor functions: where [ d, δ] = l.c.m.( d, δ). A probabilistic argument is introduced to evaluate the series $$ {\sum\nolimits_{n = 1}^\infty {\alpha _{n} d{\left( {n,{\fancyscript D}} \right)}} } $$ and $$ {\sum\nolimits_{n = 1}^\infty {\alpha _{n} d_{2} {\left( {n,{\fancyscript D}} \right)}} } $$ . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14398516
- Volume :
- 22
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Acta Mathematica Sinica
- Publication Type :
- Academic Journal
- Accession number :
- 20032427
- Full Text :
- https://doi.org/10.1007/s10114-005-0679-1