Explicit formulas are given for Anderson generating functions of rank-one Drinfeld modules over rational function fields with infinite places of degree N greater than or equal to 2, together with a modified residue formula that uses an exponential action to handle Galois twists.
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The rank-r Weil pairing for Drinfeld modules equals a specific coefficient in the Moore determinant of certain Anderson generating functions.
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Anderson generating function of rank-one Drinfeld Module over rational function fields
Explicit formulas are given for Anderson generating functions of rank-one Drinfeld modules over rational function fields with infinite places of degree N greater than or equal to 2, together with a modified residue formula that uses an exponential action to handle Galois twists.
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Relation between Anderson Generating Functions and Weil Pairing
The rank-r Weil pairing for Drinfeld modules equals a specific coefficient in the Moore determinant of certain Anderson generating functions.