2 citations · 10 across the 11 of their papers we have counts for
11 papers
On the Internal Sum of Puiseux Monoids
Jonathan Du, Bryan Li, Shaohuan Zhang
In this paper, we investigate the internal (finite) sum of submonoids of rank- torsion-free abelian groups. These submonoids, when not groups, are isomorphic to nontrivial submo…
Revisiting the number of simple -groups
Shaohua Zhang, Wujie Shi
In this paper, by solving Diophantine equations involving simple -groups, we will try to point out that it is not easy to prove the infinitude of simple -groups. This pro…
The problem of the least prime number in an arithmetic progression and its applications to Goldbach's conjecture
Shaohua Zhang
The problem of the least prime number in an arithmetic progression is one of the most important topics in Number Theory. In [11], we are the first to study the relations between th…
Dickson's conjecture on --An equivalent form of Green-Tao's conjecture
Shaohua Zhang
In [1], we give Dickson's conjecture on . In this paper, we further give Dickson's conjecture on and obtain an equivalent form of Green-Tao's conjecture [2]. Based on ou…
Notes on Dickson's Conjecture
Shaohua Zhang
In 1904, Dickson [5] stated a very important conjecture. Now people call it Dickson's conjecture. In 1958, Schinzel and Sierpinski [14] generalized Dickson's conjecture to the high…
On the Infinitude of Some Special Kinds of Primes
Shaohua Zhang
The aim of this paper is to try to establish a generic model for the problem that several multivariable number-theoretic functions represent simultaneously primes for infinitely ma…