Tau-Function
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High Quality Content by WIKIPEDIA articles! Because the eta function is easy to compute numerically from either power series, it is often helpful in computation to express other functions in terms of it when possible, and products and quotients of eta functions, called eta quotients, can be used to express a great variety of modular forms. The picture on this page shows the modulus of the Euler function: the additional factor of q1 / 24 between this and eta makes almost no visual difference whatsoever (it only introduces a tiny pinprick at the origin). Thus, this picture can be taken as a picture of eta as a function of q.…mehr

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High Quality Content by WIKIPEDIA articles! Because the eta function is easy to compute numerically from either power series, it is often helpful in computation to express other functions in terms of it when possible, and products and quotients of eta functions, called eta quotients, can be used to express a great variety of modular forms. The picture on this page shows the modulus of the Euler function: the additional factor of q1 / 24 between this and eta makes almost no visual difference whatsoever (it only introduces a tiny pinprick at the origin). Thus, this picture can be taken as a picture of eta as a function of q.