Small Pythagorean triples modulo prime powers

Stephan Baier, Anup Haldar

Let $p>5$ be a fixed prime. We obtain an asymptotic formula related to small solutions of quadratic congruences of the form $x_1^2+x_2^2\equiv x_3^2\mathrm{mod}{p}^n$ where $\max\{|x_1|,|…