On Theta-Type Functions in the Form (x; q)∞

Zhang, Changgui

Type de document :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1007/s10473-021-0617-z

Titre :

On Theta-Type Functions in the Form (x; q)∞

Auteur(s) :

Zhang, Changgui [Auteur]

Laboratoire Paul Painlevé - UMR 8524 [LPP]

Titre de la revue :

Acta Mathematica Scientia

Pagination :

2086 - 2106

Éditeur :

Springer Verlag

Date de publication :

2021-11

ISSN :

0252-9602

Mot(s)-clé(s) en anglais :

q-series
Mock theta-functions
Stokes phenomenon
continued fractions

Discipline(s) HAL :

Mathématiques [math]

Résumé en anglais : [en]

As in our previous work [14], a function is said to be of theta-type when its asymptotic behavior near any root of unity is similar to what happened for Jacobi theta functions. It is shown that only four Euler infinite ...
Lire la suite >As in our previous work [14], a function is said to be of theta-type when its asymptotic behavior near any root of unity is similar to what happened for Jacobi theta functions. It is shown that only four Euler infinite products have this property. That this is the case is obtained by investigating the analyticity obstacle of a Laplace-type integral of the exponential generating function of Bernoulli numbers.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Projet ANR :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :