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On the lacunary convergent series representations for ζ(n).
- Source :
-
International Journal of Mathematics . Jun2018, Vol. 29 Issue 6, pN.PAG-N.PAG. 10p. - Publication Year :
- 2018
-
Abstract
- We prove some lacunary convergent series representations for ζ(n). For example, we prove that ζ(7)=∑k=2∞(−1)k(2π)6k(6k+3)!⋅B6k−6k−1+π69451+12+⋯+19−log(2π), where Bn are the nth Bernoulli numbers. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0129167X
- Volume :
- 29
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- International Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 130116400
- Full Text :
- https://doi.org/10.1142/S0129167X18500386