Abstract
In this paper, we present an algorithm which can prove algebraic relations involving \({\eta}\) -quotients, where \({\eta}\) is the Dedekind eta function.
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Ligozat, G.: Courbes Modulaires de Genre 1. Société Mathématique de France, Paris (1975)
Martin Y.: Multiplicative \({\eta}\) -quotients. Trans. Amer. Math. Soc. 348(12), 4825–4856 (1996)
Miranda, R.: Algebraic Curves and Riemann Surfaces. Graduate Studies in Mathematics, Vol. 5. American Mathematical Society, Providence, RI (1995)
Newman M.: Construction and application of a class of modular functions. II. Proc. Amer. Math. Soc. 9(3), 373–387 (1959)
Paule, P., Radu, C.-S.: Partition Analysis, modular functions, and computer algebra. In: Beveridge, A., et al. (eds.) Recent Trends in Combinatorics, IMA Vol. Math. Appl., Vol. 159, pp. 511–543. Springer, Switzerland (2016)
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This research was supported by the strategic program “Innovatives OÖ 2010 plus” by the Upper Austrian Government in the frame of project W1214-N15-DK6 of the Austrian Science Fund (FWF).
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Radu, CS. An Algorithm to Prove Algebraic Relations Involving Eta Quotients. Ann. Comb. 22, 377–391 (2018). https://doi.org/10.1007/s00026-018-0388-y
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DOI: https://doi.org/10.1007/s00026-018-0388-y