The Erdös and Halberstam Theorems for Drinfeld modules of any rank

نویسندگان

  • Alina Carmen Cojocaru
  • Hugh Thomas
چکیده

Let Fq be the finite field with q elements, A := Fq[T ] and F := Fq(T ). Let φ be a Drinfeld A-module over F with trivial endomorphism ring. We prove analogues of the Erdös and Halberstam Theorems for φ. If φ has rank ≥ 3, we assume the validity of the Mumford-Tate Conjecture for φ. 1

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تاریخ انتشار 2010