Analytic arithmetic in algebraic number fields / B. Z. Moroz
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1205Langue : anglais.Éditeur : Berlin : Springer-Verlag, 1986ISBN: 9783540167846.ISSN: 1617-9692.Sujet MSC : 11R42, Algebraic number theory: global fields, Zeta functions and L-functions of number fields11R45, Algebraic number theory: global fields, Density theorems
14G05, Arithmetic problems in algebraic geometry. Diophantine geometry, Rational points
11R39, Algebraic number theory: global fields, Langlands-Weil conjectures, nonabelian class field theory
11D57, Number theory - Diophantine equations, Multiplicative and norm form equationsEn-ligne : Springerlink | Zentralblatt | MathSciNet
This book is a revised version of another book by the author [Vistas in analytic number theory, Bonner Math. Schriften, 156, Univ. Bonn, Math. Inst., Bonn, 1984; MR0779466 (86m:11092); corrigendum; MR0864977 (87j:11126)]. The book consists of four chapters. After a nice expositon of the classical background (Chapter I), the author considers in Chapter II the scalar products of Artin-Weil L-functions, leading to a solution of the problem of Linnik on the analytic continuation of the products and, in Chapter III, the distribution of prime ideals having equal norms in a finite number of algebraic number fields. Chapter IV contains remarks and comments. (MathSciNet)
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