On some relations between the rank and the crank
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