Graph of even points on an arithmetic curve

We show that the points of a global function field, whose classes are 2-divisible in the Picard group, form a connected graph, with the incidence relation generalizing the well known quadratic reciprocity law. We prove that for every global function field the dimension of this graph is precisely 2. In addition we develop an analog of global square theorem that concerns points 2-divisible in the Picard group

Nuclear radiation environment analysis for thermoelectric outer planet spacecraft

Neutron and gamma ray transport calculations were performed using Monte Carlo methods and a three-dimensional geometric model of the spacecraft. The results are compared with similar calculations performed for an earlier design

Computing square roots in quaternion algebras

We present an explicit algorithmic method for computing square roots in quaternion algebras over global fields of characteristic different from 2.Comment: Minor changes requested by the reviewer