Back to Search
Start Over
The joint value distribution of the Riemann zeta function and Hurwitz zeta functions II
- Source :
- Archiv der Mathematik. 90:230-238
- Publication Year :
- 2008
- Publisher :
- Springer Science and Business Media LLC, 2008.
-
Abstract
- In the previous paper [9] the author proved the joint limit theorem for the Riemann zeta function and the Hurwitz zeta function attached with a transcendental real number. As a corollary, the author obtained the joint functional independence for these two zeta functions. In this paper, we study the joint value distribution for the Riemann zeta function and the Hurwitz zeta function attached with an algebraic irrational number. Especially we establish the weak joint functional independence for these two zeta functions.
- Subjects :
- Polylogarithm
Particular values of Riemann zeta function
Mathematics::General Mathematics
Mathematics::Number Theory
General Mathematics
Mathematical analysis
Riemann zeta function
Riemann Xi function
Hurwitz zeta function
symbols.namesake
Arithmetic zeta function
Riemann hypothesis
Gauss–Kuzmin–Wirsing operator
symbols
Mathematics
Subjects
Details
- ISSN :
- 14208938 and 0003889X
- Volume :
- 90
- Database :
- OpenAIRE
- Journal :
- Archiv der Mathematik
- Accession number :
- edsair.doi...........e9bdb02e8e3cd7f430c4cd00083edeef