Sums of Triple Harmonic Series

✍ Scribed by Michael E. Hoffman; Courtney Moen

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 162 KB
• Volume: 60
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1006/jnth.1996.0127

✦ Synopsis

For positive integers a, b, c with a 2, let A(a, b, c) denote the triple harmonic series

We show that the sum of the A(a, b, c) with a+b+c=n is `(n)= i 1 1Âi n . A similar identity for double harmonic series goes back to Euler.