146,323
edits
Dedekind eta function: Difference between revisions
no edit summary
(Created page with "==Introduction== The Dedekind eta function, named after the German mathematician Richard Dedekind, is a key concept in the field of number theory and 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 for the partition fun...") |
No edit summary |
||
| Line 2: | Line 2: | ||
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]] | |||
==Definition== | ==Definition== | ||