Title :
A signal-processing interpretation of the Riemann zeta function
Author :
Adams, Robert W.
Author_Institution :
Analog Devices Inc., Wilmington, MA, USA
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;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 2005. Proceedings. (ICASSP '05). IEEE International Conference on
Print_ISBN :
0-7803-8874-7
DOI :
10.1109/ICASSP.2005.1415949