Abstract.
We investigate 3-adic valuations of generalized harmonic numbers .
These valuations are completely determined by the 3-adic expansion of
.
Moreover, we also give 3-adic valuations of generalized alternating harmonic numbers.
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Mathematical Citation Quotient 2011: 0.23
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On 3-adic Valuations of Generalized Harmonic Numbers
1Department of Mathematics, Osaka Institute of Technology, Osaka, Japan
Citation Information: Integers. Volume 12, Issue 2, Pages 311–319, ISSN (Online) 1867-0652, ISSN (Print) 1867-0652, DOI: 10.1515/integ.2011.110, March 2012
Publication History:
- Received:
- 2011-06-28
- Revised:
- 2011-08-26
- Accepted:
- 2011-10-31
- Published Online:
- 2012-03-27
Keywords.: Harmonic Numbers; 3-adic Valuation; Alternating Sum
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