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- W2004113018 abstract "Elliptic divisibility sequences arise as sequences of denominators of the integer multiples of a rational point on an elliptic curve. Silverman proved that almost every term of such a sequence has a primitive divisor (that is, a prime divisor that has not appeared as a divisor of earlier terms in the sequence). If the elliptic curve has complex multiplication, then we show how the endomorphism ring can be used to index a similar sequence and we prove that this sequence also has primitive divisors. The original proof fails in this context and will be replaced by an inclusion-exclusion argument and sharper diophantine estimates." @default.
- W2004113018 created "2016-06-24" @default.
- W2004113018 creator A5035178563 @default.
- W2004113018 date "2008-03-15" @default.
- W2004113018 modified "2023-09-23" @default.
- W2004113018 title "Divisibility sequences for elliptic curves with complex multiplication" @default.
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- W2004113018 doi "https://doi.org/10.2140/ant.2008.2.183" @default.
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