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math.NT2009
A graphical method to calculate Selmer groups of several families of non-CM elliptic curves
Fei Li, Derong Qiu
In this paper, we extend the ideas of Feng [F1], Feng-Xiong [FX] and Faulkner-James [FJ] to calculate the Selmer groups of elliptic curves $ y^{2} = x (x + \varepsilon p D) (x + εq…
math.NT2009
On Some Additive Properties of Multiplicative Subsemigroups of Semirings and Arithmetic Applications I
Derong Qiu
In this paper, we consider a question of sum-keeping about a multiplicative subsemigroup and its generator subsets in a semiring, and develop some elementary (collapse) process of…