Zur Anzahl unitärer Faktoren abelscher Gruppen

Peter Georg Schmidt

Acta Arithmetica (1993)

  • Volume: 64, Issue: 3, page 237-248
  • ISSN: 0065-1036

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Peter Georg Schmidt. "Zur Anzahl unitärer Faktoren abelscher Gruppen." Acta Arithmetica 64.3 (1993): 237-248. <http://eudml.org/doc/206548>.

@article{PeterGeorgSchmidt1993,
author = {Peter Georg Schmidt},
journal = {Acta Arithmetica},
keywords = {exponential sums; van der Corput method; number of unitary factors; finite Abelian group},
language = {ger},
number = {3},
pages = {237-248},
title = {Zur Anzahl unitärer Faktoren abelscher Gruppen},
url = {http://eudml.org/doc/206548},
volume = {64},
year = {1993},
}

TY - JOUR
AU - Peter Georg Schmidt
TI - Zur Anzahl unitärer Faktoren abelscher Gruppen
JO - Acta Arithmetica
PY - 1993
VL - 64
IS - 3
SP - 237
EP - 248
LA - ger
KW - exponential sums; van der Corput method; number of unitary factors; finite Abelian group
UR - http://eudml.org/doc/206548
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. Zbl0113.25305
  2. [2] E. Cohen, Arithmetical functions of finite Abelian groups, Math. Ann. 142 (1961), 165-182. Zbl0093.24803
  3. [3] J. Duttlinger, Über die Anzahl Abelscher Gruppen gegebener Ordnung und ein verwandtes Gitterpunktproblem, Dissertation, Frankfurt/Main 1972. 
  4. [4] S. W. Graham and G. Kolesnik, On the difference between consecutive squarefree integers, Acta Arith. 49 (1988), 435-447. Zbl0656.10041
  5. [5] E. Krätzel, Lattice Points, Deutscher Verlag der Wissenschaften, Berlin 1988. Zbl0675.10031
  6. [6] E. Krätzel, On the average number of direct factors of a finite Abelian group, Acta Arith. 51 (1988), 369-379. Zbl0633.10044
  7. [7] H. Menzer, Exponentialsummen und verallgemeinerte Teilerprobleme, Habilitationsschrift, Jena 1992. 
  8. [8] P. G. Schmidt, Abschätzungen bei unsymmetrischen Gitterpunktproblemen, Dissertation, Göttingen 1964. 
  9. [9] P. G. Schmidt, Zur Anzahl Abelscher Gruppen gegebener Ordnung, J. Reine Angew. Math. 229 (1968), 34-42. Zbl0155.08803
  10. [10] P. G. Schmidt, Zur Anzahl Abelscher Gruppen gegebener Ordnung II, Acta Arith. 13 (1968), 405-417. Zbl0155.08901
  11. [11] J. D. Vaaler, Some extremal problems in Fourier analysis, Bull. Amer. Math. Soc. 12 (1985), 183-216. Zbl0575.42003
  12. [12] M. Vogts, Teilerprobleme in drei Dimensionen, Math. Nachr. 101 (1981), 243-256. Zbl0484.10027
  13. [13] Ming-i Yüh, A divisor problem, Acta Math. Sinica 8 (1958), 496-506 (chinesisch, englisches summary). 

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