A new necessary condition for analytic varieties satisfying the local Phragmén–Lindelöf condition

A Necessary Condition for Weyl-Heisenberg Frames

A necessary condition for multiple objective fractional programming

In this paper, we establish a proof for  a  necessary condition for  multiple objective fractional programming. In order to derive the set of necessary conditions, we employ an equivalent parametric problem. Also, we  present the related semi parametric model.

On graphs satisfying a local ore-type condition

For an integer i, a graph is called an Li-graph if, for each triple of vertices u, v, w with d(u, v) = 2 and w ∈ N(u) ∩N(v), d(u) + d(v) ≥ |N(u) ∪N(v) ∪N(w)| − i. Asratian and Khachatrian proved that connected L0-graphs of order at least 3 are hamiltonian, thus improving Ore’s Theorem. All K1,3-free graphs are L1-graphs, whence recognizing hamiltonian L1-graphs is an NP-complete problem. The fo...

A Necessary Condition for Small Time Local Controllability

A necessary condition for small time local controllability of an analytic control system is proved. This condition is expressed in terms of Lie brackets of the vector fields (generating this control system) evaluated at the initial point and depends on the set where the control function takes its values. For a particular choice of a three-dimensional polynomial control system, a necessary and s...

A New Necessary and Sufficient Condition for the Riemann Hypothesis

We give a new equivalent condition for the Riemann hypothesis consisting in an order condition for certain finite rational combinations of the values of ζ(s) at even positive integers.