Leonid G. Fel

activity

20032005

most citedAnalytic Representations in the 3-dim Frobenius Problem

2 citations · 4 across the 6 of their papers we have counts for

collaborators

6 papers

math.CO2005★ 1 cited

On the Pólya Enumeration Theorem

Leonid G. Fel, Yoram Zimmels

Simple formulas for the number of different cyclic and dihedral necklaces containing $n_{j}$ beads of the $j$ -th color, $j \leq m$ and $\sum_{j = 1}^{m} n_{j} = N$ , are derived.

math.NT2005★ 2 cited

Analytic Representations in the 3-dim Frobenius Problem

Leonid G. Fel

We consider the Diophantine problem of Frobenius for semigroup $S (d^{3})$ where $d^{3}$ denotes the tuple $(d_{1}, d_{2}, d_{3})$ , $g cd (d_{1}, d_{2}, d_{3}) = 1$ . Based on the Hadamar…

physics.flu-dyn2004

Plateau Instability of Liquid Crystalline Cylinder in Magnetic Field

Leonid G. Fel, Yoram Zimmels

The capillary instability of a LC cylinder in magnetic field is considered using an energy approach. The boundary problem is solved in the linear approximation of the anisotropy $χ…

math.NT2004

Power Sums Related to Semigroups ${\sl S}(d_1,d_2,d_3)$

Leonid G. Fel, Boris Y. Rubinstein

The explicit formulas for the sums of positive powers of the integers $s_{i}$ unrepresentable by the triple of integers $d_{1}, d_{2}, d_{3} \in N, g cd (d_{1}, d_{2}, d_{3}) = 1$ , are derived…

math.NT2004★ 1 cited

Frobenius Problem for Semigroups ${\sl S}(d_1,d_2,d_3)$

Leonid G. Fel

The matrix representation of the set $Δ (d^{3})$ , $d^{3} = (d_{1}, d_{2}, d_{3})$ , of the integers which are unrepresentable by $d_{1}, d_{2}, d_{3}$ is found. The diagrammatic procedure of…

cond-mat.soft2003

Magnetocapillary Instability of Non--Conducting Liquid Jets Revisited : Plateau versus Chandrasekhar

Yoram Zimmels, Leonid G. Fel

The magnetostatic and magnetocapillary instability problems of isothermal incompressible and inviscid non--conducting liquid jets in a uniform magnetic field, is considered. The eq…