23 citations · 47 across the 18 of their papers we have counts for
19 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 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…
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 cohomology groups of modules of finite type over cyclic groups
Derong Qiu
Let be a cyclic group, in this paper, we study the Herbrand quotient and th cohomology group on finitely generated modules in some cases. When is of order $ 2…
The structures of Hausdorff metric in non-Archimedean spaces
Derong Qiu
For non-Archimedean spaces and let and be the ballean of (the family…