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A class of solutions of the equation d(n²) = d(φ(n)) [PDF]

Notes on Number Theory and Discrete Mathematics, 2023
For any positive integer n let d(n) and φ(n) be the number of divisors of n and the Euler's phi function of n, respectively. In this paper we present some notes on the equation d(n²) = d(φ(n)).
Zahra Amroune +2 more
doaj +1 more source

The mean value of the function d(n)/d*(n) in arithmetic progressions [PDF]

Notes on Number Theory and Discrete Mathematics, 2023
Let d(n) and d*(n) be, respectively, the number of divisors and the number of unitary divisors of an integer n≥1. A divisor d of an integer is to be said unitary if it is prime over n/d.
Ouarda Bouakkaz, Abdallah Derbal
doaj +1 more source

All basic quantizations of $$D=3$$ D = 3 , $$N=1$$ N = 1 Lorentz supersymmetry

European Physical Journal C: Particles and Fields, 2023
By the supersymmetrization of a simple algebraic technique proposed in Lukierski and Tolstoy (Eur Phys J C 77:226, 2017) we obtain the complete classification of all basic (nonisomorphic) quantum deformations for the orthosymplectic Lie superalgebra ...
V. N. Tolstoy
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Gauged D = 4 N $$ \mathcal{N} $$ = 4 supergravity

Journal of High Energy Physics, 2023
We present the full Lagrangian and supersymmetry transformation rules for the gauged D = 4, N $$ \mathcal{N} $$ = 4 (half-maximal) supergravity coupled to an arbitrary number of vector multiplets. Using the embedding tensor formulation, the final results
G. Dall’Agata, N. Liatsos, R. Noris, M. Trigiante +3 more
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$$\theta $$ θ -diagram technique for $${\mathcal {N}}=1$$ N = 1 , $$d=4$$ d = 4 superfields

European Physical Journal C: Particles and Fields, 2023
We describe a diagrammatic procedure to carry out the Grassmann integration in super-Feynman diagrams of 4d theories expressed in terms of $${\mathcal {N}}=1$$ N = 1 superfields. This method is alternative to the well known D-algebra approach. We develop
D. Bason, M. Billò
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The Role of Metabolic Syndrome in the Development and Progression of Chronic Renal Failure [PDF]

N-(1-Deoxy-α-d-tagatopyranos-1-yl)-N-methylaniline (“d-Tagatose-N-methylaniline”)

Molbank, 2018
Tagatosamines form in thermally-processed dairy products and contribute to the foods’ organoleptic and nutritional value. d-Tagatose-N-methylaniline (N-(1-deoxy-d-tagatos-1-yl)-N-methylaniline, 1-deoxy-1-(N-methylphenylamino)-d-tagatose) was synthesized ...
Valeri V. Mossine +2 more
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Carbon target as neutron source from 12C(d,n)13N and D(d,n)3He reactions

Ядерна фізика та енергетика, 2018
Possibility to use carbon as a target material to generate fast neutrons from D(d,n)3He nuclear reaction and intermediate energy neutrons from 12C(d,n)13N nuclear reaction was studied. The experiment results were obtained to characterize an adsorption of
V. K. Basenko +5 more
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Conformal manifolds and 3d mirrors of (D n , D m ) theories

Journal of High Energy Physics, 2022
The Argyres-Douglas (AD) theories of type (D n , D m ), realized by type IIB geometrical engineering on a single hypersurface singularity, are studied. We analyze their conformal manifolds and propose the 3d mirror theories of all theories in this class ...
Federico Carta +3 more
doaj +1 more source

Contemporary Views of Iron Homeostasis with Main Focus of Hepcidin - New Hormone Regulator of Iron Metabolism [PDF]

extended supersymmetry
crystal structure
supersymmetric gauge theory

astrophysics
supergravity models