We develop a practical method for computing local zeta functions of groups, algebras, and modules in fortunate cases. Using our method, we obtain a complete classification of generic local ...

To a polynomial f over a p-adic field K and a character χ of the group of units of the valuation ring of K one associates Igusa's local zeta function Z(s, f, χ), which is a meromorphic function on C.

Multiple zeta functions extend the classical Riemann zeta function to several complex variables by involving multiple summations with distinct exponents. These functions not only encapsulate deep ...

Analytic number theory continues to serve as a cornerstone of modern mathematics through its probing study of zeta functions and their applications. At the heart of this discipline is the classical ...