16 citations · 47 across the 41 of their papers we have counts for
41 papers
Quasimodular forms arising from Jacobi's theta function and special symmetric polynomials
Tewodros Amdeberhan, Leonid G. Fel, Ken Ono
Ramanujan derived a sequence of even weight quasimodular forms from derivatives of Jacobi's weight theta function. Using the generating function for this seq…
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 polynomials associated with numerical semigroups
Leonid G. Fel
We study a new kind of symmetric polynomials P_n(x_1,...,x_m) of degree n in m real variables, which have arisen in the theory of numerical semigroups. We establish their basic pro…
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…
Semigroup's series for negative degrees of the gaps values in numerical semigroups generated by two integers and identities for the Hurwitz zeta functions
Leonid G. Fel, Takao Komatsu
We derive an explicit expression for an inverse power series over the gaps values of numerical semigroups generated by two integers. It implies a set of new identities for the Hurw…