Einführung in die elementare und analytische Theorie der algebraischen Zahlen und der Ideale

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Presents an account of the theory of algebraic numbers and ideals leading up to Dedekind's theorem that every ideal of an algebraic number field is the unique product of prime ideals. This work studies Landau's generalization of the prime number theorem that was conjectured by Gauss and proven by Hadamard and Vallee Poussin in 1896.