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Level 12

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Ramanujan's Theta Functions

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Abstract

This chapter is about the function h = h(q) defined by

$$h(q) = q\prod _{j=1}^{\infty }\frac{(1 - q^{12j-1})(1 - q^{12j-11})} {(1 - q^{12j-5})(1 - q^{12j-7})}.$$

It is an analogue of Ramanujan’s function k studied in Chapter 10

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References

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Authors and Affiliations

  1. Institute of Natural and Mathematical Science, Massey University, Auckland, New Zealand

    Shaun Cooper

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  1. Shaun Cooper
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Cooper, S. (2017). Level 12. In: Ramanujan's Theta Functions. Springer, Cham. https://doi.org/10.1007/978-3-319-56172-1_13

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