Prime rational functions over a field
The aim of this paper is to provide sufficient conditions for when a polynomial or rational function over a field K is prime using its order of vanishing at infinity and the resultant.
math.NT↗
arXiv subjects
Jesse Larone
Publications and source records attributed to Jesse Larone.
The number of solutions to $y^2=px(Ax^2+2)$
In this paper, we find a bound for the number of the positive solutions to the titled equation, improving a result of Togbé. As a consequence, we prove a conjecture of Togbé in a few cases.
math.NT↗