Geodesic
New multiple harmonic sum identities
Roberto Tauraso1 ; Helmut Prodinger2
1Dipartimento di Matematica Universita' di Roma "Tor Vergata" 00133 ROMA - ITALIA
2Department of Mathematics University of Stellenbosch 7602 Stellenbosch - South Africa
The electronic journal of combinatorics, Tome 21 (2014) no. 2
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We consider a special class of binomial sums involving harmonic numbers and we prove three identities by using the elementary method of the partial fraction decomposition. Some applications to infinite series and congruences are given.
DOI : 10.37236/3946
Classification : 11B65, 05A19, 11A07, 11M32
Mots-clés : multiple harmonic sums, partial fraction decomposition, exotic sums, Euler sums, zeta values, congruences

Roberto Tauraso  1   ; Helmut Prodinger  2

1 Dipartimento di Matematica Universita' di Roma "Tor Vergata" 00133 ROMA - ITALIA
2 Department of Mathematics University of Stellenbosch 7602 Stellenbosch - South Africa 
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     author = {Roberto Tauraso and Helmut Prodinger},
     title = {New multiple harmonic sum identities},
     journal = {The electronic journal of combinatorics},
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Roberto Tauraso; Helmut Prodinger. New multiple harmonic sum identities. The electronic journal of combinatorics, Tome 21 (2014) no. 2. doi: 10.37236/3946

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