ON THE VALUES OF PARTIAL ZETA-FUNCTIONS OF REAL QUADRATIC FIELDS AT NONPOSITIVE INTEGERS

The authors study the partial fraction decomposition of narrow class p artial zeta functions of real quadratic number fields at nonpositive i nteger arguments and obtain an analogue of the classical v. Staudt/Cla usen Theorem. The main results follow from the study of the residues o f p-adic zeta functions associated with ray classes of modulus (p) for all rational primes p.