Title: Simplified Class Number Formula for Cyclotomic, Quadratic Fields
Abstract: In this chapter, we give a simplified version of Dirichlet’s Class Number Formula for cyclotomic and quadratic fields using special kind of Dirichlet’s series called L-functions attached to numerical characters and derive Dirichlet’s Theorem for primes in arithmetic progressions. We first define these notions and prove some basic results regarding characters of finite abelian groups.
Publication Year: 2022
Publication Date: 2022-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
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