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math.NT2017★ 4 cited
An Explicit Shimura Tower of Function Fields over a Number Field: An Application of Takeuchi's List
Takehiro Hasegawa
Elkies proposed a procedure for constructing explicit towers of curves, and gave two towers of Shimura curves as relevant examples. In this paper, we present a new explicit tower o…
math.NT2017
Explicit formula of a supersingular polynomial for rank-2 Drinfeld modules and applications
Takehiro Hasegawa
Rank-2 Drinfeld modules are a function-field analogue of elliptic curves, and the purpose of this paper is to investigate similarities and differences between rank-2 Drinfeld modul…