• DocumentCode
    431836
  • Title

    A signal-processing interpretation of the Riemann zeta function

  • Author

    Adams, Robert W.

  • Author_Institution
    Analog Devices Inc., Wilmington, MA, USA
  • Volume
    4
  • fYear
    2005
  • fDate
    18-23 March 2005
  • Abstract
    The paper presents a signal-processing model of the Riemann zeta function (and other related functions), and shows how the Riemann hypothesis (RH) can be re-cast as a signal-processing problem. This study also yields a new signal-processing paradigm that we call "discrete log-time systems". These systems differ in many fundamental ways from their conventional discrete-time cousins, and their study leads one to a fascinating world at the intersection of signal-processing and number theory.
  • Keywords
    discrete time systems; number theory; signal processing; Riemann hypothesis; Riemann zeta function; discrete log-time systems; discrete-time systems; number theory; signal-processing; Convergence; Delay; Educational institutions; Fluctuations; Frequency; Laplace equations; SPICE; Strips; Time of arrival estimation; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Acoustics, Speech, and Signal Processing, 2005. Proceedings. (ICASSP '05). IEEE International Conference on
  • ISSN
    1520-6149
  • Print_ISBN
    0-7803-8874-7
  • Type

    conf

  • DOI
    10.1109/ICASSP.2005.1415949
  • Filename
    1415949