Pythagorean Divisor Families and Explicit Rational Points on Congruent-Number Elliptic Curves
Year: 2026
Type: preprint
Abstract: This manuscript develops a number-theoretic construction connecting divisor-based families of Pythagorean triangles with distinguished rational points on congruent-number elliptic curves. It establishes the underlying correspondence, studies its structural and uniqueness properties, and relates the resulting elliptic-curve families to an elementary characterization of odd primes. The mathematical results are accompanied by a limited discussion of computational applications over finite fields. The implementation-related study concerns two fixed research domains and includes domain qualification and verification of selected elliptic-curve operations. Further public information is available at https://www.tetraso.com/.
Author: AMATO, Roberto
Institution: University of Messina
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7204098022
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