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Séminaire Lotharingien de Combinatoire, B25f (1990), 1 p.

[Formerly: Publ. I.R.M.A. Strasbourg, 1991, 462/S-25, p. 5-18]

# George Andrews

# Three Aspects for Partitions

**Abstract.**
In this paper we shall discuss three topics in partitions. Section
2 is devoted to partitions with difference conditions and is an
elucidation of joint work with J.B. Olsson (J.
Reine und angew. Math. **413** (1991), 198-212).
In section 3 we
discuss certain partition problems which have their origins in
statistical mechanics. We take as the theme for this section Euler's
article Exemplum Memorabile Inductionis Fallacis (Novi Commentarii
Academiae Scientarum Petropolitanae **11** (1765),
124-143; also in Opera Omnia, Series 1 Vol 15,
Teubner, pp. 50-69). The material
for this section is closely related to the work in (J. Amer. Math.
Soc. **3** (1990), 653-669). Section 4
contains a discussion of some of Ramanujan's formulas from both his
Notebooks and lost Notebook. More extensive accounts of this topic
are found in (Proc. Symp. in
Pure Math. **49 **(1989), 283-298) and
(Ill. J. Math.
**36** (1992), 251-274).

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