Here, we show that if E is a CM elliptic curve with CM field different from Q( √ −1), then the set of n for which the nth Fibonacci number Fn is elliptic Carmichael for E is of asymptotic density zero.

1. Introduction In this paper we generalize the parallelized lambda method for computing invariants in real qua-dratic function elds. A basic such invariant is the regulator, which plays an important role in cryptosystems based on real quadratic function elds. For example, in the key-exchange protocol by Scheidler, Stein and Williams SSW96], the regulator provides a measure for the key space; m...

We study analytically the change in wealth ($x$) distribution $P(x)$ against saving propensity $\lambda$ a closed economy, using Kinetic theory. estimate Gini ($g$) and Kolkata ($k)$ indices by deriving (using $P(x)$) Lorenz function $L(f)$, giving cumulative fraction $L$ of possessed $f$ people ordered ascending order wealth. First, exact result for when $\lambda = 0$ we derive from there inde...

We show that strong clustering of links in complex networks, i.e., a high probability of triadic closure, can induce a localization-delocalization quantum phase transition (Anderson-like transition) of coherent excitations. For example, the propagation of light wave packets between two distant nodes of an optical network (composed of fibers and beam splitters) will be absent if the fraction of ...

Although most of the 73 open reading frames (ORFs) in bacteriophage λ have been investigated intensively, the function of many genes in host-phage interactions remains poorly understood. Using yeast two-hybrid screens of all lambda ORFs for interactions with its host Escherichia coli, we determined a raw data set of 631 host-phage interactions resulting in a set of 62 high-confidence interactio...

Using data samples with a total integrated luminosity of approximately 18 fb$^{-1}$ collected by the BESIII detector operating at BEPCII, process $e^+e^-\rightarrow\Lambda\bar{\Lambda} \eta$ is studied center-of-mass energies between 3.5106 and 4.6988 GeV. The Born cross section for $e^+e^-\rightarrow\Lambda\bar{\Lambda}\eta$ measured. No significant structure observed in line shape. An enhance...