%0 Journal Article %T Rota-Baxter algebras and new combinatorial identities %A Kurusch Ebrahimi-Fard %A Jose M. Gracia-Bondia %A Frederic Patras %J Mathematics %D 2006 %I arXiv %R 10.1007/s11005-007-0168-9 %X The word problem for an arbitrary associative Rota-Baxter algebra is solved. This leads to a noncommutative generalization of the classical Spitzer identities. Links to other combinatorial aspects, particularly of interest in physics, are indicated. %U http://arxiv.org/abs/math/0701031v2