Zeta functions of certain noncommutative algebras (Q2276094)

From the text: For a fixed prime \(l\in\mathbb Z\), we consider zeta functions for certain types of (not necessarily commutative) algebras over the completion \(\mathbb Q_l\) of \(\mathbb Q\) and show that they satisfy several properties analogous to those of the usual Hasse-Weil zeta function of an algebraic variety over a finite field. Further, we develop appropriate functional equations for these zeta functions and also verify that they are rational functions over \(\mathbb Q_l\). We also extend classical results such as the Lefschetz fixed point formula to this context.