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Estimates of the averaged sums of fractional parts.
- Source :
-
Mathematical Notes . Jan2016, Vol. 99 Issue 1/2, p320-329. 10p. - Publication Year :
- 2016
-
Abstract
- We establish asymptotically sharp estimates for the sums of the inverses (and more general sums) of the fractional parts { iθ} of irrational numbers θ, depending on the arithmetical characteristics of the numbers θ. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 99
- Issue :
- 1/2
- Database :
- Academic Search Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 114078168
- Full Text :
- https://doi.org/10.1134/S0001434616010351