ABOUT THE RADIUS OF CONVERGENCE OF THE ZETA FUNCTION OF AN ADDITIVE ARITHMETICAL SEMIGROUP

Original Articles

ABOUT THE RADIUS OF CONVERGENCE OF THE ZETA FUNCTION OF AN ADDITIVE ARITHMETICAL SEMIGROUP

Published in: Quaestiones Mathematicae
Volume 24 , issue 3 , 2001 , pages: 355–362
DOI: 10.1080/16073606.2001.9639224
Author(s): Richard Warlimont , South Africa
Keywords: 11N45
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Abstract

Let (G, ∂) be an additive arithmetical semigroup in John Knopfmacher's sense with f(n), g(n) denoting the number of all elements, prime elements of G with degree ∂ = n.
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