caa a22 4500 463177045 CHVBK 20180406164828.0 cr unu---uuuuu 170326e20070701xx s 000 0 eng 10.1007/s10986-007-0024-8 doi (NATIONALLICENCE)springer-10.1007/s10986-007-0024-8 Wehmeier S. Universität Paderborn, Warburger Str. 100, D-33098, Paderborn, Deutschland aut The Erdös-Kac theorem for additive arithmetical semigroups [Elektronische Daten] [S. Wehmeier] We show that the Erdös-Kac theorem for additive arithmetical semigroups can be proved under the condition that the counting function of elements has the asymptotics G(n) = q n (A + O(1/(lnn)k) as n → ∞ with A > 0, q > 1, and arbitrary k ∈ ℕ and that P(n) = O(q n /n) for the number of prime elements of degree n. This improves a result of Zhang. Springer Science+Business Media, Inc., 2007 first keyword nationallicence second keyword nationallicence third keyword nationallicence very long keyword nationallicence very long keyword nationallicence very long keyword nationallicence Lithuanian Mathematical Journal Springer US 47/3(2007-07-01), 352-360 0363-1672 47:3<352 2007 47 10986 https://doi.org/10.1007/s10986-007-0024-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10986-007-0024-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Wehmeier S. Universität Paderborn, Warburger Str. 100, D-33098, Paderborn, Deutschland aut NATIONALLICENCE 773 0- Lithuanian Mathematical Journal Springer US 47/3(2007-07-01), 352-360 0363-1672 47:3<352 2007 47 10986 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer