L. Fel

activity

20002008

most citedOn Summatory Totient Functions

2 citations · 9 across the 13 of their papers we have counts for

collaborators

Showing 2005Show all

3 papers · 1 filter

math.NT2005

Arnold's Conjectures on Weak Asymptotics and Statistics of Numerical Semigroups S(d_1,d_2,d_3)

Leonid G. Fel

Three conjectures #1999--8, #1999--9 and #1999--10 which were posed by V. Arnold [2] and devoted to the statistics of the numerical semigroups are refuted for the case of semigroup…

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…