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Book Review
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Book Information
Author(s):
George E. Andrews and Bruce C. Berndt
Title:
Ramanujan's lost notebook, Part I
Additional book information:
Springer,
New York,
2005,
xiv+437,
US$89.95,
0-387-25529-X
References:
-
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The Theory of Partitions. Addison-Wesley, Reading, Mass., 1976; reprinted, Cambridge University Press, 1998. MR 1634067 (99c:11126) - [4]
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An introduction to Ramanujan's ``lost'' notebook. Amer. Math. Monthly, 86:89-108, 1979. Reprinted in [], pp. 165-184. MR 0520571 (80e:01018) - [5]
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The hard-hexagon model and Rogers-Ramanujan type identities. Proc. Nat. Acad. Sci. U.S.A., 78:5290-5292, 1981. MR 0629656 (82m:82005) - [6]
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Ramanujan's ``lost'' notebook. I. Partial -functions. Adv. in Math., 41:137-172, 1981. MR 0625891 (83m:10034a) - [7]
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Ramanujan's ``lost'' notebook. II. -function expansions. Adv. in Math., 41:173-185, 1981. MR 0625892 (83m:10034b) - [8]
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Ramanujan's ``lost'' notebook. III. The Rogers-Ramanujan continued fraction. Adv. in Math., 41:186-208, 1981. MR 0625893 (83m:10034c) - [9]
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Ramanujan's ``lost'' notebook. IV. Stacks and alternating parity in partitions. Adv. in Math., 53:55-74, 1984. MR 0748896 (85m:11062) - [10]
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Questions and conjectures in partition theory. Amer. Math. Monthly, 93:708-711, 1986. MR 1540966 - [11]
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Ramanujan's ``lost'' notebook. IX. The partial theta function as an entire function. Adv. in Math., 191:408-422, 2005. MR 2103219 (2005h:11231) - [14]
- George E. Andrews and R. J. Baxter.
Lattice gas generalization of the hard hexagon model, I. Star-triangle relation and local densities. J. Statist. Phys., 44:249-271, 1986. MR 0854405 (87i:82093) - [15]
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Lattice gas generalization of the hard hexagon model, II. The local densities as elliptic functions. J. Statist. Phys., 44:713-728, 1986. MR 0858255 (88i:82063) - [16]
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Lattice gas generalization of the hard hexagon model, III. -trinomial coefficients. J. Statist. Phys., 47:297-330, 1987. MR 0894396 (88h:82069) - [17]
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Ramanujan's ``lost'' notebook. VI. The mock theta conjectures. Adv. in Math., 73:242-255, 1989. MR 0987276 (90d:11115) - [19]
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Ramanujan's ``lost'' notebook. VII. The sixth order mock theta functions. Adv. in Math., 89:60-105, 1991. MR 1123099 (92i:11027) - [20]
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Additional Information:
Reviewer(s):
David
M.
Bressoud
Affiliation:
Macalester College
Email:
bressoud@macalester.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
43
(2006),
585-591.
MSC
(2000):
Primary 11Fxx;
Secondary 11A55, 11P55, 11P82, 11P83, 33D15
DOI:
10.1090/S0273-0979-06-01110-4
PII:
S 0273-0979(06)01110-4
Posted:
April 20, 2006
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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