On the average number of unitary 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: 1998
• Tom: 85
• Numer: 4
• Strony: 293-300

Daty

wydano

1998

otrzymano

1996-07-29

poprawiono

1997-07-15

Twórcy

autor

Wenguang Zhai

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

autor

Xiaodong Cao

• Beijing Institute of Petrochemical Technology, Daxing, Beijing 102600, P.R. China

Bibliografia

• [1] R. C. Baker and G. Harman, Numbers with a large prime factor, Acta Arith. 73 (1995), 119-145.
• [2] E. Cohen, On the average number of direct factors of a finite abelian group, Acta Arith. 6 (1960), 159-173.
• [3] E. Krätzel, On the average number of direct factors of a finite Abelian group, Acta Arith. 51 (1988), 369-379.
• [4] H. Q. Liu, The distribution of 4-full numbers, Acta Arith. 67 (1994), 165-176.
• [5] H. Q. Liu, On the number of abelian groups of a given order (supplement), Acta Arith. 64 (1993), 285-296.
• [6] H. Q. Liu, On some divisor problems, Acta Arith. 68 (1994), 193-200.
• [7] H. Menzer, Exponentialsummen und verallgemeinerte Teilerprobleme, Habilitationsschrift, FSU, Jena, 1992.
• [8] P. G. Schmidt, Zur Anzahl unitärer Faktoren abelscher Gruppen, Acta Arith. 64 (1993), 237-248.
• [9] W. G. Zhai and X. D. Cao, On the average number of direct factors of finite abelian groups, Acta Arith. 82 (1997), 45-55.