Search - Université de Technologie de Belfort-Montbeliard Access content directly

Filter your results

37 Results
Domains : math.math-nt

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
Image document

Prime Decomposition and the Iwasawa MU-invariant

Farshid Hajir , Christian Maire
Mathematical Proceedings of the Cambridge Philosophical Society, 2018
Journal articles hal-04047227v1
Image document

A note on $p$-rational fields and the abc-conjecture

Christian Maire , Marine Rougnant
2019
Preprints, Working Papers, ... hal-02077680v2
Image document

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

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
Image document

A NOTE ON ASYMPTOTICALLY GOOD EXTENSIONS IN WHICH INFINITELY MANY PRIMES SPLIT COMPLETELY

Oussama Hamza , Christian Maire
2020
Preprints, Working Papers, ... hal-02489967v1
Image document

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
Image document

$\overline{\mathbb F}_l$-Galois semi-simplicity and level raising

Pascal Boyer
2022
Preprints, Working Papers, ... hal-02267548v3
Image document

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
Image document

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
Image document

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
Image document

INFINITE CLASS FIELD TOWERS OF NUMBER FIELDS OF PRIME POWER DISCRIMINANT

Farshid Hajir , Christian Maire , Ravi Ramakrishna
2020
Preprints, Working Papers, ... hal-02779258v1
Image document

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
Image document

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

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
Image document

About the Dedekind psi function in Pauli graphs

Michel Planat
Revista Mexicana de Fisica, 2011, S57 (3), pp.107-112
Journal articles hal-00543978v1

The impact of prime number theory on frequency metrology and electronics

Michel R. P. Planat
2002, pp.586
Conference papers hal-00078265v1
Image document

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
Image document

Riemann hypothesis from the Dedekind psi function

Michel Planat
2010
Preprints, Working Papers, ... hal-00526454v2
Image document

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

ON TAME Z/pZ-EXTENSIONS WITH PRESCRIBED RAMIFICATION

Farshid Hajir , Christian Maire , Ravi Ramakrishna
2022
Preprints, Working Papers, ... hal-03753780v1
Image document

ON GALOIS REPRESENTATIONS WITH LARGE IMAGE

Christian Maire
2021
Preprints, Working Papers, ... hal-03189972v1
Image document

Efficient prime counting and the Chebyshev primes

Michel Planat , Patrick Solé
Journal of Discrete Mathematics, 2013, 2013, pp.ID 491627. ⟨10.1155/2013/491627⟩
Journal articles hal-00627233v3

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
Image document

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
Image document

Accurate HT-geometric automrophic congruences

Pascal Boyer
2022
Preprints, Working Papers, ... hal-03527658v2
Image document

Distinguished three-qubit 'magicity' via automorphisms of the split Cayley hexagon

Michel Planat , Metod Saniga , Frédéric Holweck
Quantum Information Processing, 2013, 12, pp.2535-2549. ⟨10.1007/s11128-013-0547-3⟩
Journal articles hal-00763975v1
Image document

DEFICIENCY OF p-CLASS TOWER GROUPS AND MINKOWSKI UNITS

Farshid Hajir , Christian Maire , Ravi Ramakrishna
2021
Preprints, Working Papers, ... hal-03168009v1
Image document

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
Image document

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