Common summands in partitions

• Autorzy: Hang-Fai Yeung
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1991-1992
• Tom: 60
• Numer: 4
• Strony: 307-320

Daty

wydano

1992

otrzymano

1990-03-05

poprawiono

1991-01-24

Twórcy

autor

Hang-Fai Yeung

• School of Mathematics, Physics, Computing and Electronics Macquarie University Sydney, New South Wales 2109 Australia

Bibliografia

• [1] P. Erdős and J. Lehner, The distribution of the number of summands in the partitions of a positive integer, Duke Math. J. 8 (1941), 335-345.
• [2] P. Erdős and P. Turán, On some problems of a statistical group theory VII, Period. Math. Hungar. 2 (1972), 149-163.
• [3] P. Erdős and P. Turán, On some general problems in the theory of partitions, I, Acta Arith. 18 (1971), 53-62.
• [4] H. Gupta, Selected Topics in Number Theory, Abacus Press, 1980.
• [5] K. F. Roth and G. Szekeres, Some asymptotic formulae in the theory of partitions, Quart. J. Math. (Oxford) (2) 5 (1954), 244-259.
• [6] G. Szekeres, Some asymptotic formulae in the theory of partitions (II), Quart. J. Math. (Oxford) (2) 4 (1953), 96-111.
• [7] P. Turán, Combinatorics, partitions, group theory, in: Colloquio Int. s. Teorie Combinatorie, Roma 1973, Accademia Nazionale dei Lincei, 1976, Tomo II, 181-200.
• [8] P. Turán, On a property of partitions, J. Number Theory 6 (1974), 405-411.
• [9] P. Turán, On some phenomena in the theory of partitions, Astérisque 24-25 (1975), 311-319.
• [10] P. Turán, On some connections between combinatorics and group theory, in: Combinatorial Theory and its Applications (Balatonfüred 1969), Colloq. Math. Soc. J. Bolyai 4, North-Holland, 1970, 1055-1082.