16 citations · 47 across the 41 of their papers we have counts for
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Gaussian Polynomials and Restricted Partition Functions with Constraints
Leonid G. Fel
We derive an explicit formula for a restricted partition function P_n^m(s) with constraints making use of known expression for a restricted partition function W_m(s) without constr…
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…
Stability of Axisymmetric Liquid Bridges
Boris Rubinstein
We study stability of axisymmetric liquid bridges between two axisymmetric solid bodies in the absence of gravity under arbitrary asymmetric perturbations which are expanded into a…