On Theta-Type Functions in the Form (x; q)∞
Document type :
Compte-rendu et recension critique d'ouvrage
Title :
On Theta-Type Functions in the Form (x; q)∞
Author(s) :
Journal title :
Acta Mathematica Scientia
Pages :
2086 - 2106
Publisher :
Springer Verlag
Publication date :
2021-11
ISSN :
0252-9602
English keyword(s) :
q-series
Mock theta-functions
Stokes phenomenon
continued fractions
Mock theta-functions
Stokes phenomenon
continued fractions
HAL domain(s) :
Mathématiques [math]
English abstract : [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 ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Popular science :
Non
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