Geodesic
Linear algebra and the sums of powers of integers
The electronic journal of linear algebra, Tome 17 (2008), pp. 577-596.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A general framework based on linear algebra is presented to obtain old and new polynomial expressions for the sums of powers of integers. This framework uses changes of polynomial basis, infinite lower triangular matrices and finite differences.
Classification : 11B83, 11B37, 15A03, 15A09
Keywords: finite differences, polynomial space, polynomial basis, change of basis, sum of powers of integers, infinite lower triangular matrix 
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     author = {Dubeau, Francois},
     title = {Linear algebra and the sums of powers of integers},
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Dubeau, Francois. Linear algebra and the sums of powers of integers. The electronic journal of linear algebra, Tome 17 (2008), pp. 577-596. http://geodesic.mathdoc.fr/item/ELA_2008__17__a4/