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We show that to n loop order the divergent content of a Feynman amplitude isspanned by a set of basic (logarithmically divergent) integrals which need notbe evaluated. Only the coefficients of the basic divergent integrals arenecessary to determine renormalization group functions. Relations between thesecoefficients of different loop orders are derived.

Systematization of Basic Divergent Integrals in Perturbation Theory and Renormalization Group Functions