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math.NT2023
Drinfeld modules as noncommutative tori
Igor V. Nikolaev
The Drinfeld module is a tool of the explicit class field theory for the function fields. We first observe a similarity of such modules with the noncommutative tori, and then use i…
math.NT2023
Remark on function field analogy
Igor V. Nikolaev
We study the analogy between number fields and function fields in one variable over finite fields. The main result is an isomorphism between the Hilbert class fields of class numbe…