Solving selected problems on the Chinese remainder theorem

Autor: Viliam Ďuriš, Veronika Bojdová, Timotej Šumný
Rok vydání: 2022
Předmět:
Zdroj: Annales Mathematicae et Informaticae.
ISSN: 1787-6117
DOI: 10.33039/ami.2022.02.002
Popis: The Chinese remainder theorem provides the solvability conditions for the system of linear congruences. In section 2 we present the construction of the solution of such a system. Focusing on the Chinese remainder theorem usage in the field of number theory, we looked for some problems. The main contribution is in section 3, consisting of Problems 3.1, 3.2 and 3.3 from number theory leading to the Chinese remainder theorem. Finally, we present a different view of the solution of the system of linear congruences by its geometric interpretation, applying lattice points.
Databáze: OpenAIRE