Get started
Keyword

number fields

Description: Finite-degree field extensions of the rational numbers, studied in algebraic number theory through their arithmetic properties and rings of integers.
Wikidata ID: wiki/Q616608
OpenAlex ID: keywords/number-fields
A Course in Computational Algebraic Number Theory
1993 · Henri Cohen · Graduate texts in mathematics · 2,581
Algebraic number theory
1999 · Kato, Kazuya, Kurokawa, Nobushige, et al. · Translations of mathematical monographs · 2,093
Algebraic Number Theory
1999 · Jürgen Neukirch · Grundlehren der mathematischen Wissenschaften · 1,590
Basic Number Theory
1967 · André Weil · Springer eBooks · 1,223
Endlichkeitss�tze f�r abelsche Variet�ten �ber Zahlk�rpern
1983 · G. Faltings · Inventiones mathematicae · 959
Topics in Classical Automorphic Forms
1997 · Henryk Iwaniec · Graduate studies in mathematics · 874
Contemporary Mathematics
1961 · E. Fortuna, P. Gianni, et al. · American Mathematical Monthly · 872
Elementary and Analytic Theory of Algebraic Numbers
1991 · P. Shiu, W. Narkiewicz · The Mathematical Gazette · 740
Functoriality for the exterior square of GL₄ and the symmetric fourth of GL₂
2002 · Henry Kim · Journal of the American Mathematical Society · 690
PDF
Néron Models
1990 · Siegfried Bosch, Werner Lütkebohmert, et al. · Springer eBooks · 689
Number Theory 1: Fermat's Dream
2000 · Kazuya Kato, Nobushige Kurokawa, et al. · International Linear Collider · 613
Rational Quadratic Forms
1982 · J.W.S. Cassels · North-Holland mathematics studies · 557
Applications of Number Theory to Numerical Analysis
1972 · Elsevier eBooks · 500
Algebraic Number Fields
1995 · Gerald Janusz · Graduate studies in mathematics · 485
On Galois Extensions of a Maximal Cyclotomic Field
1980 · G V Belyĭ · Mathematics of the USSR-Izvestiya · 450
PDF
On Z l -Extensions of Algebraic Number Fields
1973 · Kenkichi Iwasawa · Annals of Mathematics · 443
Elementary and Analytic Theory of Algebraic Numbers
2004 · Władysław Narkiewicz · Springer monographs in mathematics · 414
Heuristics on class groups of number fields
1984 · H. Cohen, H. W. Lenstra · Lecture notes in mathematics · 413
PDF
Lehrbuch der Algebra
1921 · Heinrich Weber · Vieweg+Teubner eBooks · 388
Bornes pour la torsion des courbes elliptiques sur les corps de nombres
1996 · Loïc Merel · Inventiones mathematicae · 384
Nonbinary quantum codes
1999 · E.M. Rains · IEEE Transactions on Information Theory · 383
PDF
The Units of Group-Rings
1940 · Graham Higman · Proceedings of the London Mathematical Society · 382
Elements of number theory
1954 · Ivan Matveevich Vinogradov, Saul Kravetz · CERN Document Server (European Organization for Nuclear Research) · 363
Torsors and Rational Points
2001 · Alexei Skorobogatov · Cambridge University Press eBooks · 349
Sur les sous-groupes arithmétiques des groupes semi-simples déployés
1969 · Hideya Matsumoto · Annales Scientifiques de l École Normale Supérieure · 340
PDF
Works count: 11,960
Citation count: 98,530
Year
Topic
Type