L. Fel

activity

20002009

most citedAnalytic Representations in the 3-dim Frobenius Problem

2 citations · 10 across the 16 of their papers we have counts for

collaborators

Showing 2008Show all

3 papers · 1 filter

math.AC2008

Duality Relation for the Hilbert Series of Almost Symmetric Numerical Semigroups

Leonid G. Fel

We derive the duality relation for the Hilbert series H(d^m;z) of almost symmetric numerical semigroup S(d^m) combining it with its dual H(d^m;z^{-1}). On this basis we establish t…

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 $v \in Z$ .