Gauss congruences in algebraic number fields


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


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.

Published : 2022-01-17

GładkiP., & PulikowskiM. (2022). Gauss congruences in algebraic number fields. Annales Mathematicae Silesianae, 36(1), 53-56. Retrieved from

Paweł Gładki
Instytut Matematyki, Uniwersytet Śląski w Katowicach  Poland
Mateusz Pulikowski 
Instytut Matematyki, Uniwersytet Śląski w Katowicach  Poland

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