‎KRONECKER (léopold)‎
‎Vorlesungen über ZAHLENTHEORIE. Erster band. Erste bis dreiunddreissigste vorlesung. Bearbaitet und herausgegeben von Dr. Kurt Hensel -- EDITION ORIGINALE (1901)‎

‎Leipzig, Teubner, 1901, un volume in 8, broché, couverture imprimée (dos cassé), 16pp., 509pp., (1), figures dans le texte‎

Reference : 8876

‎---- EDITION ORIGINALE ---- "KRONECKER étudie les propriétés des nombres algébriques et son apport est fondamental pour la théorie des corps". (Larousse "Inventeurs et scientifiques) ---- "KRONECKER's greatest mathematical achievements lie in his efforts to unify arithmetic, algebra and analysis and most particularly in his work on elliptical functions. His boudary formulas are particularly noteworthy in this regard, since they laid bare the deepest relationships between arithemtic and elliptical functions and provided the basis for Erich HECKE's later analytic-arithmeitcal investigations. KRONECKER also introduced a number of formal refinements in algebra and in the theory of numbers and many new theorems and concepts. Among the latter, special mention should be made of his theorem in ergard to the cyclotomic theory, according to which all algebraic numbers with Abelian and Galois groups (over the rational number field) are rational combinations of roots of unity. Histheorem on the convergence of infinite series is also significant... ". (DSB VII p. 508) ---- Cf cajori "A history of mathematics"**8876/N7DE‎