APPELL-LERCH SERIES VIEWED AS MOCK THETA FUNCTIONS

Zhang, Changgui

Document type :

Pré-publication ou Document de travail

Title :

APPELL-LERCH SERIES VIEWED AS MOCK THETA FUNCTIONS

Author(s) :

Zhang, Changgui [Auteur]

Laboratoire Paul Painlevé - UMR 8524 [LPP]

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

The goal of this paper is to prove that the quotient of a first order Appell-Lerch series by a suitable theta-function can be written, near every given root of unity, as the sum of two functions, one of which has a finite ...
Show more >The goal of this paper is to prove that the quotient of a first order Appell-Lerch series by a suitable theta-function can be written, near every given root of unity, as the sum of two functions, one of which has a finite limit and the other one has an asymptotic behavior like as one Jacobi's theta-function when q tends to this root. In order to simplify the exposition, we propose the definition of what we mean almost theta-type function, false theta-type function and mock theta-type function. The utilization of continued fractions and linear fractional transformations plays a central role in this paper.Show less >

Language :

Anglais

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Files

document
Open access
Access the document

Trio1.pdf
Open access
Access the document

APPELL-LERCH SERIES VIEWED AS MOCK THETA FUNCTIONS BibTeX CSV Excel RIS

Files

APPELL-LERCH SERIES VIEWED AS MOCK THETA FUNCTIONS

BibTeX

CSV

Excel

RIS