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On the location of poles of Ruelle's zeta function

โœ Scribed by Dieter H. Mayer


Publisher
Springer
Year
1987
Tongue
English
Weight
509 KB
Volume
14
Category
Article
ISSN
0377-9017

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Entire functions and potentials: Zeros o
โœ N.N Khuri ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 657 KB

We prove the existence of a three dimensional potential, UR(r), whose S-wave scattering amplitude has the complex zeros of the Riemann Zeta function as "redundant poles." The potential is a C" function on O<r < co, and JR r lUR(r)I exp(ar)dr < co, for O<a<21,, where Ai is the ordinate of the first z