Algebraic Divisibility Sequences Over Function Fields

Journal of The Australian Mathematical Society, 2012.

Cited by: 6|Bibtex|Views0|Links
Keywords:
lucas sequencealgebraic geometryelliptic divisibility sequencenumber theory

Abstract:

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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