@article{Jitman_Dukdokjan_Wongwilai_2021, title={On the Solutions of Some Equations Over Rings of Integers Modulo the Square of a Prime}, volume={4}, url={https://journals.calstate.edu/pump/article/view/2429}, abstractNote={<p>Algebraic equations over finite fields and over finite rings have been of interest due to their beautiful structures, useful in applications, and links with other mathematical objects. In this paper, the equation <em>X</em><sup>2 </sup>- <em>Y</em><sup>2 </sup>= <em><span class="polytonic">α</span></em> is studied over the ring of integers modulo <em>p</em><sup>2</sup>, where <em>p</em> is a prime number and <em><span class="polytonic">α</span></em> is an arbitrary constant. Through a matrix method, the solutions of this equation are given together with an explicit formula for the number of solutions.</p>}, journal={The PUMP Journal of Undergraduate Research}, author={Jitman, Somphong and Dukdokjan, Khanittha and Wongwilai, Chanakan}, year={2021}, month={Mar.}, pages={117-126} }