Articles liés à Algebraic Number Theory

Algebraic Number Theory - Couverture souple

 
9786130269111: Algebraic Number Theory

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.