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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
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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
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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 +3 more
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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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$$\theta $$ 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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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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4d N $$ \mathcal{N} $$ = 1 from 6d D-type N $$ \mathcal{N} $$ = (1, 0)
Journal of High Energy Physics, 2020 Compactifications of 6d N $$ \mathcal{N} $$ = (1, 0) SCFTs give rise to new 4d N $$ \mathcal{N} $$ = 1 SCFTs and shed light on interesting dualities between such theories.
Jin Chen +3 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
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4-(Benzo[d]thiazol-2-yl)-N,N-dimethylaniline
IUCrData, 2016 The whole molecule of the title compound, C15H14N2S, is approximately planar, with an r.m.s. deviation of 0.0382 Å from the best-fit mean plane through all 18 non-H atoms.
Yi-Wen Tang +4 more
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