L. Fel

activity

20002008

most citedOn Summatory Totient Functions

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

collaborators

Showing math.NTShow all

7 papers · 1 filter

math.NT2008★ 1 cited

Symmetric Numerical Semigroups Generated by Fibonacci and Lucas Triples

Leonid G. Fel

The symmetric numerical semigroups S(F_a,F_b,F_c) and S(L_k,L_m,L_n) generated by three Fibonacci (F_a,F_b,F_c) and Lucas (L_k,L_m,L_n) numbers are considered. Based on divisibilit…

math.NT2008★ 2 cited

On Summatory Totient Functions

Leonid G. Fel

The lower and upper bounds are found for the leading term of summatory totient function $\sum_{k \leq N} k^{u} ϕ^{v} (k)$ in various ranges of $u \in R$ and $v \in Z$ .

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…

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…

math.NT2003★ 1 cited

Restricted Partition Functions as Bernoulli and Euler Polynomials of Higher Order

Boris Y. Rubinstein, Leonid G. Fel

Explicit expressions for restricted partition function $W (s, d^{m})$ and its quasiperiodic components $W_{j} (s, d^{m})$ (called {\em Sylvester waves}) for a set of positive int…