Emil Artin and Helmut Hasse

This volume presents English translations of the letters exchanged between Emil Artin and Helmut Hasse written from 1921 to 1958. The letters are accompanied by extensive comments explaining the mathematical background and providing other essential context. Most letters deal with class field theory and shed new light on the birth of one of its most profound results: Artin’s reciprocity law.

Part I: Introduction to the Correspondence.- 1. Introduction.- 2. Emil Artin, his Life and his Work.- 3. Reminiscing Helmut Hasse.- 4. Reciprocity Laws for Power Residues.- 5. Class Field Theory.- 6. Time Table.- Part II: The Letters. References.- Name Index.- Subject Index.