Further consequences of a sextuple product identity. (Q1414939)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Further consequences of a sextuple product identity. |
scientific article; zbMATH DE number 2012027
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Further consequences of a sextuple product identity. |
scientific article; zbMATH DE number 2012027 |
Statements
Further consequences of a sextuple product identity. (English)
0 references
3 December 2003
0 references
If \(i=1\) or \(i=3\), let \(d_i= \sum_{\substack{ d\mid n\\ d\equiv i\pmod 4}} 1\). Let \(\delta(n)= d_1(n)- d_3(n)\). By skillful manipulation of known identities, the author derives apparently new formulas for \(\sigma(4m+1)\) and \(\sigma(4m+3)\) in terms of \(\delta(n)\).
0 references
sigma function
0 references
