Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

The semiclassical functional equation.

Jonathan Keating1

  • 1Department of Mathematics, The University, Manchester M13 9PL, United Kingdom.

Chaos (Woodbury, N.Y.)
|January 1, 1992
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Quantification of Spatial and Temporal Trends in Atmospheric Mercury Deposition across Canada over the Past 30 Years.

Environmental science & technology·2021
Same author

Sources of atmospheric metal(loid) pollution recorded in Thompson Manitoba lake sediment cores within the Canadian boreal biome.

The Science of the total environment·2020
Same author

Widespread Atmospheric Tellurium Contamination in Industrial and Remote Regions of Canada.

Environmental science & technology·2018
Same author

Anthropogenic mercury deposition in Flin Flon Manitoba and the Experimental Lakes Area Ontario (Canada): A multi-lake sediment core reconstruction.

The Science of the total environment·2017
Same author

Anadromous char as an alternate food choice to marine animals: a synthesis of Hg concentrations, population features and other influencing factors.

The Science of the total environment·2014
Same author

Mercury trends in predatory fish in Great Slave Lake: the influence of temperature and other climate drivers.

Environmental science & technology·2013
Same journal

Multiscale dynamics of special memristive ion channels in a neural circuit.

Chaos (Woodbury, N.Y.)·2026
Same journal

Symmetry-protected delay spectroscopy in oscillator networks.

Chaos (Woodbury, N.Y.)·2026
Same journal

Mesoscale community organization governs epidemic onset and spread in metapopulations.

Chaos (Woodbury, N.Y.)·2026
Same journal

Topological dependence of viral mutation spread in complex host-interaction networks.

Chaos (Woodbury, N.Y.)·2026
Same journal

Multifractal signatures of Hamiltonian chaos in Hyperion's rotational dynamics.

Chaos (Woodbury, N.Y.)·2026
Same journal

Exploring mechanisms for reversal of flow in tunicate hearts.

Chaos (Woodbury, N.Y.)·2026
See all related articles

This study introduces a semiclassical analog of the Riemann zeta function

Area of Science:

  • Mathematical Physics
  • Number Theory

Background:

  • The Riemann zeta function's functional equation is key to its approximate functional equation.
  • Quantum spectral determinants are often represented as sums over classical pseudo-orbits.

Purpose of the Study:

  • To explore a semiclassical analog of the Riemann zeta function's functional equation.
  • To derive a finite approximation for the semiclassical representation of quantum spectral determinants.

Main Methods:

  • Developing a semiclassical analog of the functional equation for the Riemann zeta function.
  • Applying this analog to approximate the semiclassical spectral determinant.

Main Results:

  • A semiclassical functional equation was established.

Related Experiment Videos

  • This equation yields a finite approximation, termed the Riemann-Siegel look-alike formula.
  • The formula connects long and short classical pseudo-orbits.

    • Conclusions:

    • The semiclassical functional equation provides a finite approximation analogous to the Riemann-Siegel formula.
    • This approximation reveals an unexpected link between different scales of pseudo-orbits.