Eta-quotients and theta functions.

Lemke Oliver, Robert J.


  • The Jacobi Triple Product Identity gives a closed form for many infinite product generating functions that arise naturally in combinatorics and number theory. Of particular interest is its application to Dedekind's eta-function η(z), defined via an infinite product, giving it as a certain kind of infinite sum known as a theta function. Using the theory of modular forms, we classify all eta-quotients ... read more
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  • Lemke Oliver, Robert J. "Eta-Quotients and Theta Functions." Advances in Mathematics 241 (July 2013): 1-17. doi:10.1016/j.aim.2013.03.019.
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