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Showing 1 to 3 of 3 for “"Drinfeld Modules"”.
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Arithmetic Properties Related to Isogeny Criteria for Elliptic Curves and Drinfeld Modules
… correlation conjecture. Let Phi_1 and Phi_2 be Drinfeld modules of rank r at least two defined over a generic A-field K which have trivial endomorphism ring and are non-isogenous. We prove that the number of primes of K of degree x for which Phi_1 and Phi_2 have the same Frobenius trace or …
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Primes of the form X² + nY² in function fields
… we use the theory of sgn-normalized rank-one Drinfeld modules. We present an algorithm to construct a generating polynomial for H/K. This algorithm generalizes to all situations an algorithm of D.S.Dummit and D.Hayes for the case where -n is monic of odd degree.