6 papers
Iwasawa invariants and class number parity of multi-quadratic number fields
Qinhao Li, Derong Qiu
In this paper, based mainly on the method of Iwasawa and Kida, by studying in detail the Hasse's unit index and the ramifications of prime ideals, we obtain explicit results of Iwa…
On Rationality of Cubic and Quartic Number Fields
Hang Li, Derong Qiu
In this paper, a new criterion is given to determine the rationality of some complex cubic number fields in terms of divisibility of certain terms of a third-order recurre…
On Twists of A Family of Elliptic Curves and Their Function
Derong Qiu
Let be an elliptic curve defined over a number field, the conjecture of Birch and Swinnerton-Dyer (BSD, for short) asserts a deep relation between the group of ratio…
On Some Diophantine Parameters of the Cyclic Torsion Subgroups of Odd Order of Elliptic Curves over
Derong Qiu
In this paper, we give some explicit Diophantine parameters of the cyclic torsion subgroups of odd order of elliptic curves over .
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…
On algebraic congruence varieties over semirings
Derong Qiu
In this paper, we develop some foundations for a theory of algebraic varieties of congruences on commutative semirings. By studying the structure of congruences, firstly, we show t…