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On 3-adic Valuations of Generalized Harmonic Numbers
-
Ken Kamano
Published/Copyright:
March 27, 2012
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.
Received: 2011-06-28
Revised: 2011-08-26
Accepted: 2011-10-31
Published Online: 2012-03-27
Published in Print: 2012-April
© 2012 by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Masthead
- Odd Catalan Numbers Modulo
- Variations of the Poincaré Map
- Diophantine Equations of Matching Games I
- Norm Euclidean Quaternionic Orders
- A New Proof of Winquist's Identity
- Counting Depth Zero Patterns in Ballot Paths
- Codes Associated with and Power Moments of Kloosterman Sums
- Subprime Factorization and the Numbers of Binomial Coefficients Exactly Divided by Powers of a Prime
- Generalized Nonaveraging Integer Sequences
- The Robin Inequality for 7-Free Integers
- On 3-adic Valuations of Generalized Harmonic Numbers
