Symmetric Numerical Semigroups Generated by Fibonacci and Lucas Triples

Details Symmetric Numerical Semigroups Generated by Fibonacci and Lucas Triples Symmetric Numerical Semigroups Generated by Fibonacci and Lucas Triples

2008-03-11

arxiv.org/abs/0803.1606v1

Mathematics

Number Theory

10 pages

Scientific paper

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 divisibility properties of the Fibonacci and Lucas numbers we establish necessary and sufficient conditions for both semigroups to be symmetric and calculate their Hilbert generating series, Frobenius numbers and genera.

Affiliated with

Also associated with

No associations

Rating

Symmetric Numerical Semigroups Generated by Fibonacci and Lucas Triples does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Symmetric Numerical Semigroups Generated by Fibonacci and Lucas Triples, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetric Numerical Semigroups Generated by Fibonacci and Lucas Triples will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-286052