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Pauli graphs when the Hilbert space dimension contains a square: why the Dedekind psi function?
Michel Planat
Quantum Optics V, Nov 2010, Cozumel, Mexico
Conference papers
hal-00510581v1
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Prime Decomposition and the Iwasawa MU-invariant
Farshid Hajir
,
Christian Maire
Mathematical Proceedings of the Cambridge Philosophical Society, 2018
Journal articles
hal-04047227v1
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A note on $p$-rational fields and the abc-conjecture
Christian Maire
,
Marine Rougnant
2019
Preprints, Working Papers, ...
hal-02077680v2
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On the analyticity of the maximal extension of a number field with prescribed ramification and splitting
Donghyeok Lim
,
Christian Maire
2023
Preprints, Working Papers, ...
hal-04177576v1
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Class number in the imaginary qudratic field and the 1/f noise of an electron gas
Michel R. P. Planat
WSEAS International Conference on Mathematical Methods and Computational Techn iques in Electrical Engineering, 2002, Athènes, Greece
Conference papers
hal-00078272v1
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A NOTE ON ASYMPTOTICALLY GOOD EXTENSIONS IN WHICH INFINITELY MANY PRIMES SPLIT COMPLETELY
Oussama Hamza
,
Christian Maire
2020
Preprints, Working Papers, ...
hal-02489967v1
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ON THE SHAFAREVICH GROUP OF RESTRICTED RAMIFICATION EXTENSIONS OF NUMBER FIELDS IN THE TAME CASE
Farshid Hajir
,
Christian Maire
,
Ravi Ramakrishna
2019
Preprints, Working Papers, ...
hal-02280113v1
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$\overline{\mathbb F}_l$-Galois semi-simplicity and level raising
Pascal Boyer
2022
Preprints, Working Papers, ...
hal-02267548v3
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Chebyshev's bias and generalized Riemann hypothesis
Adel Alahmadi
,
Michel Planat
,
Patrick Solé
Journal of Algebra, Number Theory: Advances and Applications, 2013, 8 (1-2), pp.41-55
Journal articles
hal-00650320v1
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Riemann hypothesis and Quantum Mechanics
Michel Planat
,
Patrick Solé
,
Sami Omar
Journal of Physics A: Mathematical and Theoretical, 2011, 44, pp.145203
Journal articles
hal-00549030v3
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Pauli graphs, Riemann hypothesis, Goldbach pairs
Michel Planat
,
Fabio Anselmi
,
Patrick Solé
Theoretical and Mathematical Physics, 2012, 171 (3), pp.780-791
Journal articles
hal-00576269v1
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INFINITE CLASS FIELD TOWERS OF NUMBER FIELDS OF PRIME POWER DISCRIMINANT
Farshid Hajir
,
Christian Maire
,
Ravi Ramakrishna
2020
Preprints, Working Papers, ...
hal-02779258v1
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Projective Planes Over "Galois" Double Numbers and a Geometrical Principle of Complementarity
Metod Saniga
,
Michel Planat
Chaos, Solitons & Fractals, 2008, 36, pp.374-381
Journal articles
hal-00016658v3
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From Planck to Ramanujan: a Quantum 1/f Noise in Thermal Equilibrium
Michel R. P. Planat
Journal de Théorie des Nombres de Bordeaux, 2002, 14, pp.585-601
Journal articles
hal-00078140v1
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1/f noise, Ramanujan sums and modular functions in non-linear circuits
Michel R. P. Planat
WSEAS International Conference on Mathematical Methods and Computational Techniques in Electrical Engineering, 2002, Greece
Conference papers
hal-00078253v1
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About the Dedekind psi function in Pauli graphs
Michel Planat
Revista Mexicana de Fisica, 2011, S57 (3), pp.107-112
Journal articles
hal-00543978v1
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The impact of prime number theory on frequency metrology and electronics
Michel R. P. Planat
2002, pp.586
Conference papers
hal-00078265v1
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ON OZAKI'S THEOREM REALIZING PRESCRIBED p-GROUPS AS p-CLASS TOWER GROUPS
Farshid Hajir
,
Christian Maire
,
Ravi Ramakrishna
2022
Preprints, Working Papers, ...
hal-03644508v1
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Riemann hypothesis from the Dedekind psi function
Michel Planat
2010
Preprints, Working Papers, ...
hal-00526454v2
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Ramanujan sums analysis of long-period sequences and 1/f noise
Michel Planat
,
Milan Minarovjech
,
Metod Saniga
EPL - Europhysics Letters, 2009, 85, pp.40005
Journal articles
hal-00346442v1
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ON TAME Z/pZ-EXTENSIONS WITH PRESCRIBED RAMIFICATION
Farshid Hajir
,
Christian Maire
,
Ravi Ramakrishna
2022
Preprints, Working Papers, ...
hal-03753780v1
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ON GALOIS REPRESENTATIONS WITH LARGE IMAGE
Christian Maire
2021
Preprints, Working Papers, ...
hal-03189972v1
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Efficient prime counting and the Chebyshev primes
Michel Planat
,
Patrick Solé
Journal articles
hal-00627233v3
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The arithmetic of 1/f noise in a phase-locked loop
Michel R. P. Planat
2002 IEEE International Frequency Control Symposium, 2002, France
Conference papers
hal-00078284v1
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Pauli graphs when the Hilbert space dimension contains a square: why the Dedekind psi function ?
Michel Planat
Journal of Physics A: Mathematical and Theoretical, 2010, 44 (4), pp.045301
Journal articles
hal-00519459v2
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Accurate HT-geometric automrophic congruences
Pascal Boyer
2022
Preprints, Working Papers, ...
hal-03527658v2
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Distinguished three-qubit 'magicity' via automorphisms of the split Cayley hexagon
Michel Planat
,
Metod Saniga
,
Frédéric Holweck
Journal articles
hal-00763975v1
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DEFICIENCY OF p-CLASS TOWER GROUPS AND MINKOWSKI UNITS
Farshid Hajir
,
Christian Maire
,
Ravi Ramakrishna
2021
Preprints, Working Papers, ...
hal-03168009v1
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Extreme values of the Dedekind $\Psi$ function
Patrick Solé
,
Michel R. P. Planat
Journal of Combinatorics and Number Theory, 2011, 3 (1), pp.33-38
Journal articles
hal-00533801v2
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On the invariant factors of class groups in towers of number fields
Farshid Hajir
,
Christian Maire
Canadian Journal of Mathematics = Journal Canadien de Mathématiques, 2019
Journal articles
hal-04047332v1
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