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Generalized susceptibilities of the net quark number have been proposed to begood probes for the transitions in the QCD phase diagram and for the search ofa possible critical end point. In this article we explore a new strategy forcomputing quark number susceptibilities from lattice QCD via an expansion inthe fugacity parameter $e^{\mu\beta}$. All quark number related bulkobservables are particularly easy to access in this approach and we presentresults for generalized quark number susceptibilities up to 4-th order. Ratiosof these quantities are studied and compared with model calculations for thehigh- and low temperature regions up to a chemical potential of$\mu\beta\approx1.0$.

Generalized quark number susceptibilities from fugacity expansion at finite chemical potential for $N_f$ = 2 Wilson fermions