A family of rational zeta functions for the quadratic map
β Scribed by Hatjispyros, S; Vivaldi, F
- Book ID
- 125418014
- Publisher
- Institute of Physics
- Year
- 1995
- Tongue
- English
- Weight
- 387 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0951-7715
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For a hyperbolic rational map R of the Riemann sphere of degree d 2 2, restricted to its . l d b set J(R), we define a %eta function C R ( d ) , which counts the prepenodic orbib of R, according to Lhe weight function IR'I : J(R) -+ C . An analysis of the analytic domain of ( ~( d ) , using techniqu
The functional equation for the Hurwitz Zeta function ((s,a) is used to obtain formulas for derivatives of ((s,a) at negative odd s and rational a. For several of these rational arguments, closed-form expressions are given in terms of simpler transcendental functions, like the logarithm, the polygam