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Partition function leading term, without modular forms. 2. 3. .. First, we must define what a modular function is. Dedekind eta function on the upper half space:.
7 Aug 2016 The equation is precisely equivalent to the cubic theta function identity (equation The proof appears on page 3 of "SOME CUBIC MODULAR
Eta Products and Theta Series Identities pp 3-30 Dedekind's Eta Function and Modular Forms We define the Dedekind eta function by the infinite product.
14 Nov 2014 An eta-quotient of level N is a modular form of the shape f(z) = ??|N ?(?z)r? . We In 1877, Richard Dedekind [3] defined the function. (1).
6 Dec 2009 Right after it he bemoans his lack of luck in finding the explicit expression for the eta function from the definition or without the use of theta
The Dedekind eta function is implemented in the Wolfram Language as DedekindEta[tau]. Rewriting the definition in terms of q^_ eta(tau) is a modular form first introduced by Dedekind in 1877, and is related to the modular discriminant of
18 Jul 2015 Dedekind eta function. Skip the Navigation Links A modular form. The Jacobi theta function for special values of its arguments 2. Definition.
In mathematics, the Dedekind eta function, named after Richard Dedekind, is a modular form of weight 1/2 and is a function defined on the upper half-plane of complex numbers, where the imaginary part is positive.
behavior under ?. As next we define the Dedekind eta function. With the the idea of three different proofs: With modular forms, with elliptic functions and a com-.
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