Items related to Algebraic Number Theory: Local field, Dirichlet's...

Algebraic Number Theory: Local field, Dirichlet's unit theorem, Artin reciprocity law, Class number formula, Number theory, Algebraic structure, ... Ring (mathematics), Algebraic number field - Softcover

 
9786130269111: Algebraic Number Theory: Local field, Dirichlet's unit theorem, Artin reciprocity law, Class number formula, Number theory, Algebraic structure, ... Ring (mathematics), Algebraic number field

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, algebraic number theory is a major branch of number theory which studies algebraic structures related to algebraic integers. This is generally accomplished by considering a ring of algebraic integers O in an algebraic number field K/Q, and studying their algebraic properties such as factorization, the behaviour of ideals, and field extensions. In this setting, the familiar features of the integers — such as unique factorization — need not hold. The virtue of the primary machinery employed — Galois theory, group cohomology, group representations, and L-functions — is that it allows one to deal with new phenomena and yet partially recover the behaviour of the usual integers.

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Reseña del editor

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, algebraic number theory is a major branch of number theory which studies algebraic structures related to algebraic integers. This is generally accomplished by considering a ring of algebraic integers O in an algebraic number field K/Q, and studying their algebraic properties such as factorization, the behaviour of ideals, and field extensions. In this setting, the familiar features of the integers — such as unique factorization — need not hold. The virtue of the primary machinery employed — Galois theory, group cohomology, group representations, and L-functions — is that it allows one to deal with new phenomena and yet partially recover the behaviour of the usual integers.

"About this title" may belong to another edition of this title.