Place (Field)

A place of a number Field is an Isomorphism class of field maps onto a dense subfield of a nondiscrete locally compact Field .

In the function field case, let be a function field of algebraic functions of one variable over a Field . Then by a place in , we mean a subset of which is the Ideal of nonunits of some Valuation Ring over .

References

Chevalley, C. Introduction to the Theory of Algebraic Functions of One Variable. Providence, RI: Amer. Math. Soc., p. 2, 1951.

Knapp, A. W. ``Group Representations and Harmonic Analysis, Part II.'' Not. Amer. Math. Soc. 43, 537-549, 1996.

• Gauss's Interpolation Formula
• Gauss's Lemma
• Gauss's Machin-Like Formula
• Gauss's Mean-Value Theorem
• Gauss's Polynomial Theorem
• Gauss's Reciprocity Theorem
• Gauss's Test
• Gauss's Theorem
• Gauss's Theorema Egregium
• Gauss's Transformation
• Gear Graph
• Gegenbauer Function
• Gegenbauer Polynomial
• Gelfond-Schneider Constant
• Gelfond-Schneider Theorem
• Gelfond's Theorem
• Genaille Rods
• Genera
• Generalized Cone
• Generalized Cylinder
• Generalized Fibonacci Number
• Generalized Function
• Generalized Helicoid
• Generalized Helix
• Generalized Hyperbolic Functions