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AlffPlacesDegOneNum

Computes the number of places of degree one of a global function field's constant field extension.

Syntax:

N := AlffPlacesDegOneNum(F,m);

global function field
  F  
integer
  N, m  

See also:  AlffPlacesDegOneNumBound, AlffPlacesDegOne, AlffPlaces, AlffPlacesNum

Description:

Let N_1(F') be the number of places of degree one of the constant field extension F' of degree m of a global function field F. This function calculates N_1(F') (using a simple algorithm).


Example:


kash> AlffInit(FF(2, 3));
"Defining global variables: k, w, kT, kTf, kTy, T, y, AlffGlobals"
kash> AlffOrders(y^3+T^3*y+T);
"Defining global variables: F, o, oi, one"
kash> AlffPlacesDegOneNum(F,1);
24


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