Moreover, Maxima can be called at definition time of an Euler function.
2.
This last being the Euler function, which is closely related to the Dedekind eta function.
3.
By using estimates on exponential sums due to Euler function \ phi ( in : " Weylsche Exponentialsummen in der neueren Zahlentheorie ", see below ).
4.
Indeed, Maxima is used in various Euler functions ( e . g . the Newton method ) to assist in the computation of derivatives, Taylor expansions and integrals.
5.
The functions " G " and " H " turn up in the Rogers Ramanujan identities, and the function " Q " is the Euler function, which is closely related to the Dedekind eta function.
6.
The picture on this page shows the modulus of the Euler function : the additional factor of q ^ { 1 / 24 } between this and eta makes almost no visual difference whatsoever ( it only introduces a tiny pinprick at the origin ).
7.
The rearranged series 1 " 1 " 1 + 1 + 1 " 1 " 1 + ???occurs in Euler's 1775 treatment of the pentagonal number theorem as the value of the Euler function at " q " = 1.
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