Lemmermeyer Algebraic Number Theory

Algebraic Number Theory

Elementary Number Theory

Introduction to Algebraic Geometry

Introduction to the English Edition of Hilbert’s Zahlbericht

David Hilbert’s (1862–1943) so-called Zahlbericht of 1897, which appears here for the first time in English, was the principal textbook on algebraic number theory for a period of at least thirty years after its appearance. Emil Artin, Helmut Hasse, Erich Hecke, Hermann Weyl and many others learned their number theory from this book. Even beyond this immediate impact Hilbert’s Zahlbericht has se...

Kronecker - Weber via Stickelberger par Franz LEMMERMEYER

In this note we give a new proof of the theorem of Kronecker-Weber based on Kummer theory and Stickelberger’s theorem.