## Milne, Stephen

 Office: MW 554 (Columbus) Phone: 614-292-7049 (Columbus) Email: javascript required Website: http://www.math.ohio-state.edu/~milne OSU ID: milne.1 Research Areas: Algebraic combinatorics, classical analysis (elliptic functions, continued fractions, and multiple basic hypergeometric series), Lie algebras (generalized Macdonald identities), analytic number theory (sums of squares), and their relationships with one another.combinatorics

Office Hours
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by appointment

Selected Publications

1. (with J. Lepowsky) Lie algebraic approaches to classical partition identities, Advances in Mathematics 29 (1978), 15-59.
2. (with A. Garsia) A Rogers-Ramanujan Bijection, Journal of Combinatorial Theory (Series A) 31 (1981), 289-339.
3. (with G. Lilly) The $A_{ell}$ and $C_{ell}$ Bailey transform and lemma, American Mathematical Society. Bulletin. New Series. 26 (1992), 258-263.
4. New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan's tau function, Proceedings of the National Academy of Sciences, U.S.A. 93 (1996), 15004-15008.
5. Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions, The Ramanujan Journal 6 (2002), 7--149. (George Andrews has written a Preface for this first issue of 2002. See pages 5--6.) Entire paper (issue) also published as vol. 5 of Developments in Mathematics, Kluwer Academic Publishers, Dordrecht, 2002. (ISBN # 1-4020-0491-5 ).