Keyword

local fields

Description: Local fields are topological fields, such as the real numbers or p-adic numbers, studied in number theory and algebra.

Primary topic: Advanced Algebra and Geometry (51%)

Wikidata ID: wiki/Q1868517

OpenAlex ID: keywords/local-fields

The Optical Properties of Metal Nanoparticles: The Influence of Size, Shape, and Dielectric Environment

2002 · K. Lance Kelly, Eduardo Coronado, et al. · The Journal of Physical Chemistry B · 10,612

Basic Number Theory

1967 · André Weil · Springer eBooks · 1,223

Vertex algebras for beginners

1998 · Victor Kac · University lecture series · 1,188

Cohomology of Number Fields

2008 · Jürgen Neukirch, Alexander Schmidt, et al. · Grundlehren der mathematischen Wissenschaften · 1,082

Introduction to Quadratic Forms

1973 · O. T. O’Meara · Springer eBooks · 1,051

Groupes réductifs sur un corps local : I. Données radicielles valuées

1972 · François Bruhat, Jacques Tits · Publications mathématiques de l IHÉS · 1,021

Local Fields

1979 · Jean-Pierre Serre · Graduate texts in mathematics · 876

Groupes réductifs sur un corps local : II. Schémas en groupes. Existence d'une donnée radicielle valuée

1984 · François Bruhat, Jacques Tits · Publications mathématiques de l IHÉS · 744

Introduction to Quadratic Forms over Fields

2004 · T.Y. Lam · Graduate studies in mathematics · 617

Reductive groups over local fields

1979 · J. Tits · Proceedings of symposia in pure mathematics · 592

Optimal storage properties of neural network models

1988 · E Gardner, B Derrida · Journal of Physics A Mathematical and General · 558

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A Remark Concerning m-Divisibility and the Discrete Logarithm in the Divisor Class Group of Curves

1994 · Gerhard Frey, Hans-Georg Ruck · Mathematics of Computation · 553

On the Theory of Dielectric Polarization

1936 · John G. Kirkwood · The Journal of Chemical Physics · 537

The Lorentz Correction in Barium Titanate

1950 · J. C. Slater · Physical Review · 534

Fourier Analysis on Local Fields.

2016 · Mitchell Taibleson · Medical Entomology and Zoology · 520

How can extremism prevail? A study based on the relative agreement interaction model

2002 · Guillaume Deffuant, Frédéric Amblard, et al. · Journal of Artificial Societies and Social Simulation · 481

Relations between K2 and Galois cohomology

1976 · John Tate · Inventiones mathematicae · 438

The Multiplicity One Theorem for GL n

1974 · J. A. Shalika · Annals of Mathematics · 408

Adeles and Algebraic Groups

1982 · A. Weil · Birkhäuser Boston eBooks · 407

On the classification of irreducible representations of real algebraic groups

1989 · R. Langlands · Mathematical surveys and monographs · 398

The Endoscopic Classification of Representations

2013 · James Arthur · Colloquium Publications - American Mathematical Society/Colloquium Publications · 389

Ab initiostatic dielectric matrices from the density-functional approach. I. Formulation and application to semiconductors and insulators

1987 · Mark S. Hybertsen, Steven G. Louie · Physical review. B, Condensed matter · 386

Modèles minimaux des variétés abéliennes sur les corps locaux et globaux

1964 · André Néron · Publications mathématiques de l IHÉS · 337

On discrete subgroups of the two by two projective linear group over $\mathfrak{p}$ -adic fields

1966 · Yasutaka IHARA · Journal of the Mathematical Society of Japan · 320

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Maximal fields with valuations

1942 · Irving Kaplansky · Duke Mathematical Journal · 311

Works count: 4,947

Citation count: 68,600