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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