Resummation and the turning-points of zeta function
By: J.P. Keating.
Contributors: Hewlett-Packard Laboratories.
Series: [Technical report] / HP Laboratories Bristol. Basic Research Institute in the Mathematical Sciences -- HPL-BRIMS-96-27.; BRIMS technical report -- HPL-BRIMS-96-27.
Publisher: Hewlett Packard
Published: 1996
Place of publication: Bristol [England]
Language: eng
Number of pages: 11
Subjects: Functions, Zeta
Description: Abstract: We review various periodic orbit formulae for the zeta function whose zeros represent semiclassical approximations to the energy levels of chaotic systems. In particular, we focus on the Riemann-Siegel-resummed expression. The emphasis is on the ability of such formulae to reproduce the analytic properties of the spectral determinant, whose zeros are the exact quantum levels. As an example, the distribution of turning points is investigated and compared.
Notes: Cover title.

"December 1996."

Includes bibliographical references (p. 11).