Groups of cubefree order

Claudia Spiro-Silverman

Acta Arithmetica (1995)

  • Volume: 71, Issue: 3, page 209-227
  • ISSN: 0065-1036

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Claudia Spiro-Silverman. "Groups of cubefree order." Acta Arithmetica 71.3 (1995): 209-227. <http://eudml.org/doc/206770>.

@article{ClaudiaSpiro1995,
author = {Claudia Spiro-Silverman},
journal = {Acta Arithmetica},
keywords = {group-counting function; arithmetic function; lower bound},
language = {eng},
number = {3},
pages = {209-227},
title = {Groups of cubefree order},
url = {http://eudml.org/doc/206770},
volume = {71},
year = {1995},
}

TY - JOUR
AU - Claudia Spiro-Silverman
TI - Groups of cubefree order
JO - Acta Arithmetica
PY - 1995
VL - 71
IS - 3
SP - 209
EP - 227
LA - eng
KW - group-counting function; arithmetic function; lower bound
UR - http://eudml.org/doc/206770
ER -

References

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  1. [1] J.-R. Chen and J.-M. Liu, On the least prime in an arithmetical progression (III), (IV), Science in China Ser. A 32 (1989), 654-673, 782-809. 
  2. [2] P. Erdős, Some asymptotic formulas in number theory, J. Indian Math. Soc. 12 (1948), 75-78. Zbl0041.36807
  3. [3] P. Erdős, M. R. Murty and V. K. Murty, On the enumeration of finite groups, J. Number Theory 25 (1987), 360-378. Zbl0612.10038
  4. [4] D. Gorenstein, Finite Groups, Series in Modern Mathematics, Harper and Row, New York, 1968, xv+527. 
  5. [5] M. Hall, The Theory of Groups, Twelfth Printing, The Macmillan Company, New York, 1973, xiv+434. 
  6. [6] D. R. Heath-Brown, Zero-free regions for Dirichlet's L-functions, and the least prime in an arithmetic progression, Proc. London Math. Soc. 64 (1992), 265-338. Zbl0739.11033
  7. [7] Yu. V. Linnik, On the least prime in an arithmetic progression. II. The Deuring-Heilbronn Phenomenon, Rec. Math. [Math. Sbornik] N.S. 15 (57) (1994), 345-368. 
  8. [8] M.-G. Lu, The asymptotic formula for F₂(x), Sci. Sinica Ser. A 30 (1987), 262-278. 
  9. [9] M. R. Murty and V. K. Murty, On the number of groups of a given order, J. Number Theory 18 (1984), 178-191. Zbl0531.10047
  10. [10] C. A. Spiro, The probability that the number of groups of squarefree order is two more than a fixed prime, Proc. London Math. Soc. 60 (1990), 444-470. Zbl0707.11066
  11. [11] C. A. Spiro-Silverman, When the group-counting function assumes a prescribed integer value at squarefree integers frequently, but not extremely frequently, Acta Arith. 61 (1992), 1-12. Zbl0747.11039

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