On the average number of direct factors of a finite abelian group (“sur les variété abéliennes”)

Hartmut Menzer

Journal de théorie des nombres de Bordeaux (1995)

  • Volume: 7, Issue: 1, page 155-164
  • ISSN: 1246-7405

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Menzer, Hartmut. "On the average number of direct factors of a finite abelian group (“sur les variété abéliennes”)." Journal de théorie des nombres de Bordeaux 7.1 (1995): 155-164. <http://eudml.org/doc/247650>.

@article{Menzer1995,
author = {Menzer, Hartmut},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {finite Abelian group; multidimensional exponential sums},
language = {eng},
number = {1},
pages = {155-164},
publisher = {Université Bordeaux I},
title = {On the average number of direct factors of a finite abelian group (“sur les variété abéliennes”)},
url = {http://eudml.org/doc/247650},
volume = {7},
year = {1995},
}

TY - JOUR
AU - Menzer, Hartmut
TI - On the average number of direct factors of a finite abelian group (“sur les variété abéliennes”)
JO - Journal de théorie des nombres de Bordeaux
PY - 1995
PB - Université Bordeaux I
VL - 7
IS - 1
SP - 155
EP - 164
LA - eng
KW - finite Abelian group; multidimensional exponential sums
UR - http://eudml.org/doc/247650
ER -

References

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  1. [1] E. Cohen, On the average number of direct factors of a finite Abelian group, Acta Arith.6 (1960), 159-173. Zbl0113.25305MR118764
  2. [2] P. Erdös and G. Szekeres, Öber die Anzahl Abelscher Gruppen gegebener Ordnung und Âber ein verwandtes zahlentheoretisches Problem., Acta Sci. Math. (Szeged) 7 (1935), 95-102. Zbl60.0893.02JFM60.0893.02
  3. [3] A. Ivić, The Riemann zeta-function, John Wiley & Sons, New York (1985). Zbl0556.10026MR792089
  4. A. IviĆ, [4] On a multiplicative function connected with the number of direct factors of a finite Abelian group, (to appear). Zbl0829.11048
  5. [5] E. Krätzel, Lattice Points, Kluwer Academic Publishers, Dordrecht- Boston-London, (1988). Zbl0675.10031MR998378
  6. [6] E. Krätzel, On the average numbers of direct factors of a finite Abelian group, Acta Arith.11 (1988), 369-379. Zbl0633.10044MR971087
  7. [7] E. Krätzel, Estimates in the General Divisor Problem, Abh. Math. Sem. Univ. Hamburg62 (1992), 191-206. Zbl0776.11057MR1182849
  8. [8] H.-Q. Liu, On the number of Abelian groups of a given order, Acta Arith.56 (1991), 261-277. Zbl0737.11024MR1133246
  9. [9] H. Menzer, Exponentialsummen und verallgemeinerte Teilerprobleme Dissertation, B. Friedrich-Schiller-Universitaet Jena, (1991). Zbl0807.11043
  10. [10] H. Menzer & R. Seibold, On the average number of direct factors of a finite Abelian group., Monatsh. Math.110 (1990), 63-72. Zbl0731.11054MR1072729
  11. [11] M. Vogts, Many-dimensional Generalized Divisor Problems, Math. Nachr.124 (1985),103-121. Zbl0595.10034MR827893

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