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Title: Comparing the number of abelian groups and of semisimple rings of a given order (English)
Author: Kühleitner, Manfred
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 45
Issue: 5
Year: 1995
Pages: 509-518
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Category: math
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MSC: 11N37
MSC: 11N45
idZBL: Zbl 0848.11044
idMR: MR1390704
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Date available: 2009-09-25T11:11:11Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/129876
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Reference: [2] IVIĆ A.: The Riemann Zeta-Function.J. Wiley 8z Sons, New York-Chichester-Brisbane-Toronto-Singapore, 1985. Zbl 0583.10021, MR 0792089
Reference: [3] De KONINCK J. M., IVIĆ A.: Topics in Arithmetical Functions.North Holland Publ. Co., Amsterdam-New York-Oxford, 1980. Zbl 0442.10032, MR 0589545
Reference: [4] HONG-QUAN LIU: On the number of abelian groups of a given order.Acta Arith. LIX (1991), 261-277. MR 1133246
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Reference: [7] NORTHCOTT D. G.: Lessons on Rings.Modules and Multiplicities, Cambridge University Press, London, 1968. Zbl 0159.33001, MR 0231816
Reference: [8] NOWAK W. G.: On the average number of finite abelian groups of a given order.Ann. Sei. Math. Quebec 15 (1991), 193-202. Zbl 0749.11043, MR 1151477
Reference: [9] NOWAK W. G.: Sums of reciprocals of general divisor functions and the Selberg divisor problem.Abh. Math. Sem. Univ. Hamburg 61 (1991), 163-173. Zbl 0739.11037, MR 1138281
Reference: [10] PRACHAR K.: Primzahlverteilung.Springer, Berlin-Heidelberg-New York, 1957. Zbl 0080.25901, MR 0087685
Reference: [11] RIEGER G. J.: Zum Teilerproblem von Atle Selberg.Math. Nachr. 30 (1965), 181-192. MR 0190105
Reference: [12] SELBERG A.: Note on a paper by L. G. Sathe.J. Indian Math. Soc. 18 (1954), 83-87. Zbl 0057.28502, MR 0067143
Reference: [13] WALFISZ A.: Weylsche Exponentialsummen in der neueren Zahlentheorie.Dt. Verl. d. Wiss., Berlin, 1963. Zbl 0146.06003, MR 0220685
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