Type: Article
Publication Date: 2005-04-01
Citations: 31
DOI: https://doi.org/10.1142/s0219498805001083
Recent developments of Baxter algebras have led to applications to combinatorics, number theory and mathematical physics. We relate Baxter algebras to Stirling numbers of the first and the second kinds, partitions and multinomial coefficients. This allows us to apply congruences from number theory to obtain congruences in Baxter algebras.