000 01369nam a22002057a 4500
003 OSt
005 20240910161825.0
008 190117b ||||| |||| 00| 0 eng d
020 _a9781493976263
040 _cTata Book House
_aICTS-TIFR
050 _aQA29.R3
100 _aAndrews, George E
245 _aRamanujan's lost notebook: Part 03
260 _aUSA:
_bSpringer,
_c[c2005]
300 _a435 p
505 _aIntroduction 1. Ranks and Cranks, Part I 2. Ranks and Cranks, Part II 3. Ranks and Cranks, Part III 4. Ramanujan’s Unpublished Manuscript on the Partition and Tau Functions 5. Theorems about the Partition Functio 6. Congruences for Generalized Tau Functions 7. Ramanujan’s Forty Identities for the Rogers–Ramanujan Functions 8. Circular Summation
520 _aThis volume is the third of five volumes that the authors plan to write on Ramanujan’s lost notebook and other manuscripts and fragments found in The Lost Notebook and Other Unpublished Papers, published by Narosa in 1988. The ordinary partition function p(n) is the focus of this third volume. In particular, ranks, cranks, and congruences for p(n) are in the spotlight. Other topics include the Ramanujan tau-function, the Rogers–Ramanujan functions, highly composite numbers, and sums of powers of theta functions.
700 _aBerndt, Bruce C.
942 _2lcc
_cBK
999 _c2143
_d2143