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This document discusses various mathematical concepts related to congruence class groups, bounds for class numbers, and Artin L-functions in number theory. It presents lemmas that provide estimates for the class number in terms of certain parameters and introduces foundational material necessary for understanding prime ideals in Galois extensions. Additionally, it outlines the definitions and properties of Artin L-functions and their relation to Galois groups and representations.

Author

Aminbayru

Language

EN