Anup Haldar

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20222024

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math.NT2022

Asymptotic behavior of small solutions of quadratic congruences in three variables modulo prime powers

Stephan Baier, Anup Haldar

Let $p > 5$ be a fixed prime and assume that $α_{1}, α_{2}, α_{3}$ are coprime to $p$ . We study the asymptotic behavior of small solutions of congruences of the form $α_1x_1^2+α_2x_2^2+α_3x_…

math.NT2022

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 $x_{1}^{2} + x_{2}^{2} \equiv x_{3}^{2} mod p^{n}$ where $\max\{|x_1|,|…