A q-Raabe formula and an integral of the fourth Jacobi theta function
- Authors
- Mez?, Istv?n
- Format
- Article
- Status
- publishedVersion
- Description
We generalize the Raabe-formula to the q-loggamma function by giving an integral formula for when q>1. As a consequence, we get that the integral of the logarithm of the fourth Jacobi theta function between its least imaginary zeros is connected to the partition function and the Riemann zeta function.
http://www.sciencedirect.com/science/article/pii/S0022314X12002715
- Publication Year
- 2013
- Language
- eng
- Topic
- Q-RAABE
FORMULA
FOURTH
JACOBI
- Repository
- Repositorio SENESCYT
- Rights
- openAccess
- License
- closedAccess