2 citations · 2 across the 2 of their papers we have counts for
2 papers
math.NT2014★ 2 cited
Algebraic families of hyperelliptic curves violating the Hasse principle
Dong Quan Ngoc Nguyen
In , Colliot-Thélène and Poonen showed how to construct algebraic families of genus one curves violating the Hasse principle. Poonen explicitly constructed an algebraic famil…
math.NT2014
Carlitz module analogues of Mersenne primes, Wieferich primes, and certain prime elements in cyclotomic function fields
Dong Quan Ngoc Nguyen
In this paper, we introduce a Carlitz module analogue of Mersenne primes, and prove Carlitz module analogues of several classical results concerning Mersenne primes. In contrast to…