A Signal-Processing Interpretation Of The Riemann Zeta Function

2005 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOLS 1-5: SPEECH PROCESSING（2005）

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摘要

This paper will present a signal-processing model of the Riemann Zeta function (and other related functions), and show 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 will 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.

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关键词

discrete time,signal processing,number theory,fluctuations,riemann hypothesis,frequency,riemann zeta function,strips,convergence,transfer functions

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