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Irrationality of the sums of zeta values
- Source :
- Mathematical Notes; March 2006, Vol. 79 Issue: 3-4 p561-571, 11p
- Publication Year :
- 2006
-
Abstract
- Abstract: In this paper, we establish a lower bound for the dimension of the vector spaces spanned over ℚ by 1 and the sums of the values of the Riemann zeta function at even and odd points. As a consequence, we obtain numerical results on the irrationality and linear independence of the sums of zeta values at even and odd points from a given interval of the positive integers.
Details
- Language :
- English
- ISSN :
- 10679073 and 15738876
- Volume :
- 79
- Issue :
- 3-4
- Database :
- Supplemental Index
- Journal :
- Mathematical Notes
- Publication Type :
- Periodical
- Accession number :
- ejs21004440
- Full Text :
- https://doi.org/10.1007/s11006-006-0063-1