The number of representations of an integer as a sum involving generalized pentagonal numbers (Q2890254)
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: The number of representations of an integer as a sum involving generalized pentagonal numbers |
scientific article; zbMATH DE number 6044395
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The number of representations of an integer as a sum involving generalized pentagonal numbers |
scientific article; zbMATH DE number 6044395 |
Statements
8 June 2012
0 references
generalized pentagonal numbers
0 references
theta functions
0 references
0 references
The number of representations of an integer as a sum involving generalized pentagonal numbers (English)
0 references
The authors prove a formula for the number of representations of a natural number as a sum of 12 generalized pentagonal numbers (which are of the form \({1\over 2} n(3n-1)\) with \(n\in\mathbb Z\)). The proof is based on theta function identities, which are shown using earlier papers of K. S. Williams, A. Alaca and Ş. Alaca.
0 references
