Résume | This concerns the average of the representation numbers of adefinite quadratic form over a totally real number field, asconsidered by Siegel. He gave a product formula for the averagedivided by the mass of the genus in question. He computed almost allfactors, but some factors were given only as representationdensities, without explicit formulas. We present an exact formulathat gives the average as a finite product of certain explicitlydefined quantities. |