A class of solutions of the equation d(n²) = d(φ(n)) [PDF]
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]
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
Микротопонимы городa-завода Ижевск как источник изучения его удмуртской предыстории [Microtoponyms of the City-Factory of Izhevsk as a Source for Study of its Udmurt Prehistory] [PDF]
The present article aims to study the microtoponyms of Izhevsk in a wide historical and cultural context in order to consider the content of the Udmurt component in the cityâs prehistory. Special attention is paid to the etymology of hydronyms (Ðж, Ð
Nadezhda Shutova
doaj +1 more source
Conformal manifolds and 3d mirrors of (D n , D m ) theories
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
All basic quantizations of $$D=3$$ D = 3 , $$N=1$$ N = 1 Lorentz supersymmetry
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
doaj +1 more source
$$\theta $$ θ -diagram technique for $${\mathcal {N}}=1$$ N = 1 , $$d=4$$ d = 4 superfields
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
doaj +1 more source
A D-N alternating algorithm for exterior 3-D problem with ellipsoidal artificial boundary
In this study, based on a general ellipsoidal artificial boundary, we present a Dirichlet-Neumann (D-N) alternating algorithm for exterior three dimensional (3-D) Poisson problem.
Xuqiong Luo
doaj +1 more source
Названия мать-и-мачехи в удмуртских диалектах [The Names for Coltsfoot (Tussilago farfara L.) Used in Udmurt Dialects]; pp. 53-62 [PDF]
In this article the Udmurt dialect names for coltsfoot (Tussilago farfara L.) are discussed, their word-formation structure is analyzed, the etymology of their components is given and the basic naming principles are defined.
Marianna Rifovna Nasibullina
doaj +1 more source
New complexes of first series of transition metals with P-amino benzene dithiocarbamate of the general formula [M(PABdtc)2] and [ M(PABdtc)2(L)n] M=Fe( ІІ ),Co( ІІ ),Ni( ІІ ) ,Cu(ІІ) and Zn (ІІ). PABdtc = Paraamino benzene dithiocarbamate ,n=2
Mohammed Jassim Mohammed +1 more
doaj +1 more source
O rukopisi «Kratkija pravila votskago jazyka» [On the Manuscript ”Kratkija pravila votskago jazyka”]; pp. 64-68 [PDF]
The article gives an analysis of the manuscript Udmurt grammar called âKÑаÑкiÑ Ð¿Ñавила воÑÑкаго ÑзÑкаâ (Short rules of the Votic language).
L. M. Ivšin
doaj +1 more source

