ALGEBRAIC DIVISIBILITY SEQUENCES OVER FUNCTION FIELDS
2012 ◽
Vol 92
(1)
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pp. 99-126
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AbstractIn this note we study the existence of primes and of primitive divisors in function field analogues of classical divisibility sequences. 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 elliptic divisibility sequence over a function field has only finitely many terms lacking a primitive divisor.
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1959 ◽
Vol 14
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pp. 223-234
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2010 ◽
Vol 88
(3)
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pp. 301-312
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1995 ◽
Vol 38
(2)
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pp. 167-173
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2020 ◽
Vol 16
(09)
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pp. 2041-2094
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