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On large distances between neighbouring zeros of the Riemann zeta-function.
- Source :
- Discrete Mathematics & Applications; 2010, Vol. 20 Issue 4, p411-420, 10p
- Publication Year :
- 2010
-
Abstract
- A new estimate of the number of zeros ϱ<subscript>n</subscript> = β<subscript>n</subscript> + iγ<subscript>n</subscript> of the Riemann zeta-function with ordinates γ<subscript>n</subscript> belonging to a given interval and for which the distance to the next zero is sufficiently large in comparison with the mean value 2 π(ln( γ<subscript>n</subscript>/(2 π)))<superscript>-1</superscript> is obtained. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09249265
- Volume :
- 20
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Discrete Mathematics & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 54464203
- Full Text :
- https://doi.org/10.1515/DMA.2010.025