Some integrals of the Dedekind \(\eta \)-function (Q1018305)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some integrals of the Dedekind \(\eta \)-function |
scientific article |
Statements
Some integrals of the Dedekind \(\eta \)-function (English)
0 references
19 May 2009
0 references
The author presents a number of results for integrals of type \[ \int^{+\infty}_0 f(x)\eta^k(ix)\,dx, \] where \(\eta\) is the Dedekind eta-function. These results have connections with Ramanujan's or Glaisher's work and are of interest to researchers in modular forms, theta-functions, or hypergeometric series.
0 references
Dedekind's \(\eta\)-function
0 references
modular forms
0 references
\(\theta\)-function
0 references
hypergeometric series
0 references
