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.

We obtain an exact necessary and sufficient condition for the existence uniqueness of equilibrium asset prices in infinite horizon, discrete-time, arbitrage free environments. Using local spectral radius methods, we connect condition, hence problem prices, with recent literature on stochastic discount factor decompositions. Our results include a globally convergent method computing whenever the...

In this paper, we deal with the attitude control of a satellite equipped with wheels of reaction, using the static output feedback. In the first part, we set the control and its integral in the state-feedback form. Then, by using the algorithm of Kucera, we establish the necessary and sufficient conditions so that the nonlinear system which models the satellite will be stabilizable by the Stati...

This paper presents a simple, efficient and cost effective routing strategy that considers deadlock recovery as opposed to prevention. Performance is optimized in the absence of deadlocks by allowing maximum flexibility in routing. Disha supports true fully adaptive routing where all virtual channels at each node are available to packets without regard for deadlocks. Deadlock cycles, upon formi...

We solve the problem of whether a set of quantum tests reveals state-independent contextuality and use this result to identify the simplest set of the minimal dimension. We also show that identifying state-independent contextuality graphs [R. Ramanathan and P. Horodecki, Phys. Rev. Lett. 112, 040404 (2014)] is not sufficient for revealing state-independent contextuality.