Back to Search
Start Over
On sums over the Möbius function and discrepancy of fractions
- Source :
-
Journal of Number Theory . Jul2013, Vol. 133 Issue 7, p2217-2239. 23p. - Publication Year :
- 2013
-
Abstract
- Abstract: We obtain quantitative upper bounds on partial sums of the Möbius function over semigroups of integers in an arithmetic progression. Exploiting the cancellation of such sums, we deduce upper bounds for the discrepancy of fractions in the unit interval whose denominators satisfy the same restrictions. In particular, the uniform distribution and approximation of discrete weighted averages over such fractions are established as a consequence. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 133
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 86461743
- Full Text :
- https://doi.org/10.1016/j.jnt.2012.12.001