Ramanujan's “Lost” Notebook VI: The mock theta conjectures

Advances in Mathematics - Tập 73 - Trang 242-255 - 1989
George E Andrews1
1The Pennsylvania State University, University Park, Pennsylvania 16802 USA

Tài liệu tham khảo

Andrews, 1966, On the theorems of Watson and Dragonette for Ramanujan's mock theta functions, Amer. J. Math., 88, 454, 10.2307/2373202 Andrews, 1966, On basic hypergeometric series, mock theta functions, and partitions (I), Quart. J. Math. Oxford Ser., 17, 64, 10.1093/qmath/17.1.64 Andrews, 1967, Enumerative proofs of certain q-identities, Glasgow Math. J., 8, 33, 10.1017/S0017089500000057 Andrews, 1976 Andrews, 1979, An introduction to Ramanujan's “Lost” Notebook, Amer. Math. Monthly, 86, 89, 10.2307/2321943 Andrews, 1981, Ramanujan's “Lost” Notebook III. The Rogers-Ramanujan continued fraction, Adv. in Math., 41, 186, 10.1016/0001-8708(81)90015-3 Andrews, 1986, The fifth and seventh order mock theta functions, Trans. Amer. Math. Soc., 293, 113, 10.1090/S0002-9947-1986-0814916-2 Atkin, 1954, Some properties of partitions, Proc. London Math. Soc., 4, 84, 10.1112/plms/s3-4.1.84 Garvan, 1986, Generalizations of Dyson's Rank Kothmann, 1977, On the Ranks of Paritions Ramanujan, 1927 Watson, 1936, The final problem: An account of the mock theta functions, J. London Math. Soc., 11, 55, 10.1112/jlms/s1-11.1.55 Watson, 1937, The mock theta functions (2), Proc. London Math. Soc., 42, 274, 10.1112/plms/s2-42.1.274