Level 12

Shaun Cooper
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Shaun Cooper: Massey University, Institute of Natural and Mathematical Science

Chapter Chapter 12 in Ramanujan's Theta Functions, 2017, pp 571-593 from Springer

Abstract: Abstract This chapter is about the function h = h(q) defined by h ( q ) = q ∏ j = 1 ∞ ( 1 − q 12 j − 1 ) ( 1 − q 12 j − 11 ) ( 1 − q 12 j − 5 ) ( 1 − q 12 j − 7 ) . $$h(q) = q\prod _{j=1}^{\infty }\frac{(1 - q^{12j-1})(1 - q^{12j-11})} {(1 - q^{12j-5})(1 - q^{12j-7})}.$$ It is an analogue of Ramanujan’s function k studied in Chapter 10

Date: 2017
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DOI: 10.1007/978-3-319-56172-1_13

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