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Cyclotomy and Ramanujan sums in quantum phase locking
(2003)
"Phase-locking governs the phase noise in classical clocks through effects described in precise mathematical terms. We seek here a quantum counterpart of these effects by working in a finite Hilbert space. We use a coprimality ...
On arithmetic detection of grey pulses with application to Hawking radiation
(2002)
"Micron-sized black holes do not necessarily have a constant horizon temperature distribution. The black hole remote-sensing problem means to find out the "surface" temperature distribution of a small black hole from the ...