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Dedekind eta function: Difference between revisions
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The Dedekind eta function, named after the German mathematician Richard Dedekind, is a key concept in the field of [[Number Theory|number theory]] and [[Modular Forms|modular forms]]. It is a modular form of weight 1/2 and is defined on the upper half-plane of complex numbers. The Dedekind eta function plays a significant role in various mathematical theorems and equations, including the [[Rademacher's Formula|Rademacher's formula]] for the partition function and the [[Jacobi Triple Product|Jacobi triple product]] identity. | The Dedekind eta function, named after the German mathematician Richard Dedekind, is a key concept in the field of [[Number Theory|number theory]] and [[Modular Forms|modular forms]]. It is a modular form of weight 1/2 and is defined on the upper half-plane of complex numbers. The Dedekind eta function plays a significant role in various mathematical theorems and equations, including the [[Rademacher's Formula|Rademacher's formula]] for the partition function and the [[Jacobi Triple Product|Jacobi triple product]] identity. | ||
[[Image:Detail-144911.jpg|thumb|center|A mathematical graph representing the Dedekind eta function]] | [[Image:Detail-144911.jpg|thumb|center|A mathematical graph representing the Dedekind eta function|class=only_on_mobile]] | ||
[[Image:Detail-144912.jpg|thumb|center|A mathematical graph representing the Dedekind eta function|class=only_on_desktop]] | |||
==Definition== | ==Definition== | ||