File tree Expand file tree Collapse file tree 1 file changed +16
-0
lines changed
src/sage/rings/function_field/drinfeld_modules Expand file tree Collapse file tree 1 file changed +16
-0
lines changed Original file line number Diff line number Diff line change @@ -74,6 +74,22 @@ class DrinfeldModule_charzero(DrinfeldModule):
74
74
z + ((1/(T^2+T))*z^2) + ((1/(T^8+T^6+T^5+T^3))*z^4) + O(z^8)
75
75
sage: phi.logarithm()
76
76
z + ((1/(T^2+T))*z^2) + ((1/(T^6+T^5+T^3+T^2))*z^4) + O(z^8)
77
+
78
+ .. RUBRIC:: Goss polynomials
79
+
80
+ Goss polynomials are a sequence of polynomials related with the
81
+ analytic theory of Drinfeld module. They provide a function field
82
+ analogue of certain classical trigonometric functions::
83
+
84
+ sage: A = GF(2)['T']
85
+ sage: K.<T> = Frac(A)
86
+ sage: phi = DrinfeldModule(A, [T, 1])
87
+ sage: phi.goss_polynomial(1)
88
+ X
89
+ sage: phi.goss_polynomial(2)
90
+ X^2
91
+ sage: phi.goss_polynomial(3)
92
+ X^3 + (1/(T^2 + T))*X^2
77
93
"""
78
94
@cached_method
79
95
def _compute_coefficient_exp (self , k ):
You can’t perform that action at this time.
0 commit comments