A First Course in String Theory

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The generating function is an infinite product:

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To evaluate the infinite product, you can use `Mathematica`

(or its official free version `Wolfram Engine`

) with the following commands:

TeXForm[ HoldForm[ (1/x)*Product[ (1+x^(r-1/2))^32/(1-x^r)^8, {r, 1, Infinity}]]] f[x_]:=(1/x)*Product[ (1+x^(r-1/2))^32/(1-x^r)^8, {r, 1, Infinity}] Print[f[x]] TeXForm[f[x]] TeXForm[Series[f[x], {x,0,3}]]1 32 QPochhammer[-(-------), x] Sqrt[x] ------------------------------------ 1 32 8 (1 + -------) x QPochhammer[x, x] Sqrt[x]

— Me@2022-11-23 04:40:28 PM

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2022.11.23 Wednesday (c) All rights reserved by ACHK