We obtain two new algorithms for partial fraction decompositions; the first nis over algebraically closed fields, and the second is over general fields. nT..
In this paper we provide an algebraic derivation of the explicit Witten volume formulas for a few semi-simple Lie algebras by combining a combinatorial metho..
Dedekind symbols are generalizations of the classical Dedekind sums n(symbols). There is a natural isomorphism between the space of Dedekind symbols nwith..
A natural question about Dedekind sums is to find conditions on the integers $a_1, a_2$, and $b$ such that $s(a_1,b) = s(a_2, b)$. We prove that if the f..