84 citations · 970 across the 84 of their papers we have counts for
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math-ph2002
Milne phase for the Coulomb quantum problem related to Riemann's hypothesis
H. C. Rosu, J. M. Moran-Mirabal, M. Planat
We use the Milne phase function in the continuum part of the spectrum of the particular Coulomb problem that has been employed by Bhaduri, Khare, and Law as an equivalent physical…
math-ph2002★ 52 cited
Ramanujan sums for signal processing of low frequency noise
M. Planat, H. C. Rosu, S. Perrine
An aperiodic (low frequency) spectrum may originate from the error term in the mean value of an arithmetical function such as Möbius function or Mangoldt function, which are coding…
hep-th2002★ 7 cited
Modular functions and Ramanujan sums for the analysis of 1/f noise in electronic circuits
Michel Planat
A number theoretical model of noise found in phase locked loops is developed. The dynamics of phases and frequencies involved in the nonlinear mixing of oscillators and the l…