Titlebook: Lectures on the Theory of Algebraic Numbers; Erich Hecke Textbook 1981 Springer Science+Business Media New York 1981 Algebraic.Algebraisch

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Elements of Rational Number Theory, division (not always) to form integers. Higher arithmetic uses methods of investigation analogous to those of real or complex numbers. Moreover it also uses analytic methods which belong to other areas of mathematics, such as infinitesimal calculus and complex function theory, in the derivation of

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General Arithmetic of Algebraic Number Fields,d . = .(1). To develop the foundations of an arithmetic of algebraic numbers we first need a definition of algebraic integer. The following requirements can be reasonably imposed on a concept of integer.

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The Law of Quadractic Reciprocity in Arbitrary Number Fields, was the first to recognize the great importance which these sums have in number theory. His attention was directed to the connection between these sums and the quadratic reciprocity law and he showed how a proof for the reciprocity law is obtained by determining the value of these sums. Today we kn

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Lectures on the Theory of Algebraic Numbers978-1-4757-4092-9Series ISSN 0072-5285 Series E-ISSN 2197-5612

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General Arithmetic of Algebraic Number Fields,d . = .(1). To develop the foundations of an arithmetic of algebraic numbers we first need a definition of algebraic integer. The following requirements can be reasonably imposed on a concept of integer.

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