Gauss congruences in algebraic number fields



Abstract

In this miniature note we generalize the classical Gauss congruences for integers to rings of integers in algebraic number fields.


Keywords

Gauss congruences; algebraic number fields

1. H.N. Shapiro, An elementary proof of the prime ideal theorem, Comm. Pure Appl. Math. 2 (1949), 309–323.
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Published : 2022-01-17


GładkiP., & PulikowskiM. (2022). Gauss congruences in algebraic number fields. Annales Mathematicae Silesianae, 36(1), 53-56. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13460

Paweł Gładki  pawel.gladki@us.edu.pl
Instytut Matematyki, Uniwersytet Śląski w Katowicach  Poland
https://orcid.org/0000-0001-5894-650X
Mateusz Pulikowski 
Instytut Matematyki, Uniwersytet Śląski w Katowicach  Poland



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