16 citations · 47 across the 41 of their papers we have counts for
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Wilf's question in numerical semigroups revisited and inequalities for rescaled genera
Leonid G. Fel
We consider numerical semigroups , minimally generated by three positive integers. We revisit the Wilf question in and, making use of identi…
Genera of numerical semigroups and polynomial identities for degrees of syzygies
Leonid G. Fel
We derive polynomial identities of arbitrary degree for syzygies degrees of numerical semigroups S_m=<d_1,...,d_m> and show that for n>=m they contain higher genera G_r=\sum_{s…
Symmetric (not Complete Intersection) Numerical Semigroups Generated by Six Elements
Leonid G. Fel
We consider symmetric (not complete intersection) numerical semigroups S_6, generated by a set of six positive integers {d_1,...,d_6}, gcd(d_1,...,d_6)=1, and derive inequalities f…
Numerical semigroups generated by squares, cubes and quartics of three consecutive integers
Leonid G. Fel
We derive the polynomial representations for minimal relations of generating set of numerical semigroups R_n^k=<(n-1)^k,n^k,(n+1)^k>, k=2,3,4, n>2. We find also the polynomial repr…
Symmetric (not Complete Intersection) Semigroups Generated by Five Elements
Leonid Fel
We consider symmetric (not complete intersection) numerical semigroups S_5, generated by five elements, and derive inequalities for degrees of syzygies of S_5 and find the lower bo…
On Frobenius numbers for Symmetric (not Complete Intersection) Semigroups Generated by Four Elements
Leonid G. Fel
We derive the lower bound for Frobenius number of symmetric (not complete intersection) semigroups generated by four elements.