310 citations
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math-ph2008★ 32 cited
Ramanujan sums analysis of long-period sequences and 1/f noise
Michel Planat, Milan Minarovjech, Metod Saniga
Ramanujan sums are exponential sums with exponent defined over the irreducible fractions. Until now, they have been used to provide converging expansions to some arithmetical funct…
math-ph2005★ 45 cited
Hjelmslev Geometry of Mutually Unbiased Bases
Metod Saniga, Michel Planat
The basic combinatorial properties of a complete set of mutually unbiased bases (MUBs) of a q-dimensional Hilbert space H\_q, q = p^r with p being a prime and r a positive integer,…
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…