On some relations between the rank and the crank

Journal of Combinatorial Theory, Series A - Tập 59 - Trang 104-110 - 1992
Richard Lewis1
1Mathematics Division, University of Sussex, Falmer, Brighton, United Kingdom

Tài liệu tham khảo

Andrews, 1988, Dyson's crank of a partition, Bull. Amer. Math. Soc., 18, 167, 10.1090/S0273-0979-1988-15637-6 Atkin, 1954, Some properties of partitions, 4, 84 Dyson, 1944, Some guesses in the theory of partitions, Eureka, 8, 10 Dyson, 1989, Mappings and symmetries of partitions, J. Combin. Theory Ser. A, 51, 169, 10.1016/0097-3165(89)90043-5 Garvan, 1988, Combinatorial interpretations of Ramanujan's partition congruences, 29 Garvan, 1988, New combinatorial interpretations of Ramanujan's partition congruences mod 5, 7, and 11, Trans. Amer. Math. Soc., 305, 47 F. G. Garvan, The crank of partitions mod 8, 9, and 10, Trans. Amer. Math. Soc., to appear. Ramanujan, 1927, Some properties of p(n), the number of partitions of n