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Algebraic Number Theory

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The book presents a comprehensive exploration of classical algebraic and analytic number theory, expanding on previous works to include class field theory. It emphasizes a global perspective while addressing local fields only briefly. The author integrates ideal and idelic approaches, offering two distinct proofs of the functional equation for the zeta function to showcase various techniques. The text references influential literature and highlights the enduring relevance of historical cases in advancing theoretical understanding.

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Algebraic Number Theory, Serge Lang

Jazyk
Rok vydání
2013
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Titul
Algebraic Number Theory
Jazyk
anglicky
Autoři
Serge Lang
Rok vydání
2013
Vazba
měkká
Počet stran
376
ISBN13
9781461269229
Série
Anotace
The book presents a comprehensive exploration of classical algebraic and analytic number theory, expanding on previous works to include class field theory. It emphasizes a global perspective while addressing local fields only briefly. The author integrates ideal and idelic approaches, offering two distinct proofs of the functional equation for the zeta function to showcase various techniques. The text references influential literature and highlights the enduring relevance of historical cases in advancing theoretical understanding.