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On zeta functions associated with polynomials
Published online by Cambridge University Press: 17 April 2009
Abstract
We give direct proofs of meromorphic continuality on the whole complex plane of certain zeta functions ZP, Q (s) and Z (P/Q, s) associated with a pair of polynomials P, Q. We calculate ZP, Q (−q) (q a non-negative integer) and give explicit formulas for the residues of Z (P/Q, s) at poles.
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- Copyright © Australian Mathematical Society 2000
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