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Zeta functions of integral group rings of metacyclic groups

Zeta functions of integral group rings of metacyclic groups

Recently, Solomon has introduced a zeta function which counts sublattices of a given lattice over an order ([5]). Let us recall the definition of this zeta function. Let I be a (finitedimensional) semisimple algebra over the rational fieldQ or over the j!?-adicfieldQp, and let A be an order in I. …