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On the error term of a lattice counting problem, II.
- Source :
-
International Journal of Number Theory . Jun2020, Vol. 16 Issue 5, p1153-1160. 8p. - Publication Year :
- 2020
-
Abstract
- Under the Riemann Hypothesis, we improve the error term in the asymptotic formula related to the counting lattice problem studied in a first part of this work. The improvement comes from the use of Weyl's bound for exponential sums of polynomials and a device due to Popov allowing us to get an improved main term in the sums of certain fractional parts of polynomials. [ABSTRACT FROM AUTHOR]
- Subjects :
- *RIEMANN hypothesis
*POLYNOMIALS
*TERMS & phrases
*EXPONENTIAL sums
Subjects
Details
- Language :
- English
- ISSN :
- 17930421
- Volume :
- 16
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- International Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 143357254
- Full Text :
- https://doi.org/10.1142/S179304212050058X