On the average number of direct factors of finite abelian groups

• Autorzy: Wenguang Zhai , Xiaodong Cao
• Języki publikacji: EN

Kategorie tematyczne

• 11N37: Asymptotic results on arithmetic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1997
• Tom: 82
• Numer: 1
• Strony: 45-55

Daty

wydano

1997

otrzymano

1996-07-15

poprawiono

1997-03-20

Twórcy

autor

Wenguang Zhai

• Department of Mathematics, Shandong Normal University, Jinan, Shandong 250014, P.R. China

autor

Xiaodong Cao

• Beijing Petro-Chemical, Engineering College, Daxing, Beijing 102600, P.R. China

Bibliografia

• [1] R. C. Baker, The square-free divisor problem II, Quart. J. Math. Oxford Ser. (2) 47 (1996), 133-146.
• [2] E. Cohen, On the average number of direct factors of a finite abelian group, Acta Arith. 6 (1960), 159-173.
• [3] E. Fouvry and H. Iwaniec, Exponential sums with monomials, J. Number Theory 33 (1989), 311-333.
• [4] C.-H. Jia, On the distribution of square-free numbers (II), Sci. China Ser. A 8 (1992), 812-827.
• [5] E. Krätzel, On the average number of direct factors of a finite Abelian group, Acta Arith. 51 (1988), 369-379.
• [6] H.-Q. Liu, On the number of abelian groups of a given order, Acta Arith. 59 (1991), 261-277.
• [7] H.-Q. Liu, Divisor problems of 4 and 3 dimensions, Acta Arith. 73 (1995), 249-269.
• [8] H.-Q. Liu, The distribution of 4-full numbers, Acta Arith. 67 (1994), 165-176.
• [9] H. Menzer, Vierdimensionale Gitterpunktprobleme I, II, Forschungsergebnisse, FSU, Jena, N/89/38, N/89/02.
• [10] H. Menzer and R. Seibold, On the average number of direct factors of a finite Abelian group, Monatsh. Math. 110 (1990), 63-72.
• [11] J. D. Vaaler, Some extremal problems in Fourier analysis, Bull. Amer. Math. Soc. 12 (1985), 183-216.
• [12] M. Vogts, Many-dimensional generalized divisor problems, Math. Nachr. 124 (1985), 103-121.
• [13] G. Yu, On the number of direct factors of finite abelian groups, Acta Math. Sinica 37 (1994), 663-670.