Algebraic Divisibility Sequences Over Function Fields
Journal of The Australian Mathematical Society, 2012.
lucas sequencealgebraic geometryelliptic divisibility sequencenumber theory
We study the existence of primes and of primitive divisors in classical divisibility sequences defined over function fields. Under various hypotheses, we prove that Lucas sequences and elliptic divisibility sequences over function fields defined over number fields contain infinitely many irreducible elements. We also prove that an ellip...More
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