| 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 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11N37 |
| MSC:
|
11N45 |
| idZBL:
|
Zbl 0848.11044 |
| idMR:
|
MR1390704 |
| . |
| Date available:
|
2009-09-25T11:11:11Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129876 |
| . |
| Reference:
|
[1] ERDÖS P., SZEKERES G.: Über die Anzahl der Abelschen Gruppen gegebener Ordnung und über ein verwandtes zahlentheoretisches Problem.Acta Sei. Math. (Szeged) VII (1934), 95-102. Zbl 0010.29402 |
| 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 |
| Reference:
|
[5] KRÄTZEL E.: Lattice Points.Kluwer Acad. Publ., Dordrecht-Boston-London, 1988. Zbl 0675.10031, MR 0998378 |
| Reference:
|
[6] MITSUI T.: On the prime ideal theorem.J. Math. Soc. Japan 20 (1968), 233-247. Zbl 0172.06102, MR 0223314 |
| 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 |
| . |
