The majority of articles in this section are original work, and perhaps the most inventive ones would be the first two articles. Articles 1 introduces a new formulation to find the “exact count” for the cardinality 𝝁 in the celebrated Gauss’s Lemma on Quadratic Residues. Article 2 presents an analytical geometric interpretation of 𝝁 as the number of certain points lying on a specific trapezoid on the first quadrant of a Cartesian system in terms of the prime number p involved in Gauss’s Lemma. Indeed, the geometric interpretation in the second article implies an easier proof of the formulation of the exact count for 𝝁, concluded analytically in the first article. Other notable articles might be Articles 4 to 9 presenting (mostly new) concrete Modular Arithmetic formulas regarding quadratic residues.