The distribution of 4-full numbers

• Autorzy: Hong-Quan Liu
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1994
• Tom: 67
• Numer: 2
• Strony: 165-176

Daty

wydano

1994

otrzymano

1993-07-26

poprawiono

1994-02-09

Twórcy

autor

Hong-Quan Liu

• 206-10, Bao Guo st., Harbin, 150066 China

Bibliografia

• [1] A. Baker, A Concise Introduction to the Theory of Numbers, Cambridge Univ. Press, 1984.
• [2] P. T. Bateman and E. Grosswald, On a theorem of Erdős and Szekeres, Illinois J. Math. 2 (1958), 88-98.
• [3] P. Erdős and G. Szekeres, Über die Anzahl der Abelschen Gruppen gegebener Ordnung und über ein verwandtes zahlentheoretisches Problem, Acta Sci. Math. (Szeged) 7 (1935), 95-102.
• [4] A. Ivić, On the asymptotic formulas for powerful numbers, Publ. Inst. Math. (Belgrade) 23 (37) (1978), 85-94.
• [5] A. Ivić, On the number of finite non-isomorphic abelian groups in short intervals, Math. Nachr. 101 (1981), 257-271.
• [6] A. Ivić and P. Shiu, The distribution of powerful numbers, Illinois J. Math. 26 (1982), 576-590.
• [7] E. Krätzel, Zahlen k-ter Art, Amer. J. Math. 44 (1972), 309-328.
• [8] E. Krätzel, Divisor problems and powerful numbers, Math. Nachr. 114 (1983), 97-104.
• [9] E. Krätzel, Zweifache Exponentialsummen und dreidimensionale Gitterpunktprobleme, in: Elementary and Analytic Theory of Numbers, Banach Center Publ. 17, PWN, Warszawa, 1985, 337-369.
• [10] E. Krätzel, The distribution of powerful integers of type 4, Acta Arith. 52 (1989), 141-145.
• [11] H.-Q. Liu, On the number of abelian groups of a given order, Acta Arith. 59 (1991), 261-277.
• [12] H.-Q. Liu, On the number of abelian groups of a given order (supplement), Acta Arith. 64 (1993), 285-296.
• [13] H.-Q. Liu, The greatest prime factor of the integers in an interval, Acta Arith. 65 (1993), 301-328.