Groups of cubefree order

• Autorzy: Claudia Spiro-Silverman
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1995
• Tom: 71
• Numer: 3
• Strony: 209-227

Daty

wydano

1995

otrzymano

1994-02-18

poprawiono

1994-09-06

Twórcy

autor

Claudia Spiro-Silverman

• Mathematics/Science Division, Babson College, Babson Park, Massachusetts 02157, U.S.A.

Bibliografia

• [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] P. Erdős, Some asymptotic formulas in number theory, J. Indian Math. Soc. 12 (1948), 75-78.
• [3] P. Erdős, M. R. Murty and V. K. Murty, On the enumeration of finite groups, J. Number Theory 25 (1987), 360-378.
• [4] D. Gorenstein, Finite Groups, Series in Modern Mathematics, Harper and Row, New York, 1968, xv+527.
• [5] M. Hall, The Theory of Groups, Twelfth Printing, The Macmillan Company, New York, 1973, xiv+434.
• [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.
• [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] M.-G. Lu, The asymptotic formula for F₂(x), Sci. Sinica Ser. A 30 (1987), 262-278.
• [9] M. R. Murty and V. K. Murty, On the number of groups of a given order, J. Number Theory 18 (1984), 178-191.
• [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.
• [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.