output
20022008
most citedPrimitive divisors of elliptic divisibility sequences

50 citations

11 papers

math.DS2005

Mixing and tight polyhedra

Thomas Ward

Actions of by automorphisms of compact zero-dimensional groups exhibit a range of mixing behaviour. Schmidt introduced the notion of mixing shapes for these systems,…

math.DS2005

Expansive algebraic actions of countable abelian groups

Richard Miles

This paper gives an algebraic characterization of expansive actions of countable abelian groups on compact abelian groups. This naturally extends the classification of expansive al…

math.DS20057 cited

Mixing actions of the rationals

Richard Miles, Tom Ward

We study mixing properties of algebraic actions of , showing in particular that prime mixing actions on connected groups are mixing of all orders, as is…

math.LO2004

Diamond (on the regulars) can fail at any strongly unfoldable cardinal

Joel David Hamkins, Mirna Džamonja

If kappa is any strongly unfoldable cardinal, then this is preserved in a forcing extension in which Diamond_kappa(REG) fails. This result continues the progression of the correspo…

math.NT200450 cited

Primitive divisors of elliptic divisibility sequences

Graham Everest, Gerard Mclaren, Tom Ward

Silverman proved the analogue of Zsigmondy's Theorem for elliptic divisibility sequences. For elliptic curves in global minimal form, it seems likely this result is true in a unifo…

math.NT20042 cited

Prime divisors of sequences associated to elliptic curves

Graham Everest, Igor E Shparlinski

We consider the primes which divide the denominator of the x-coordinate of a sequence of rational points on an elliptic curve. It is expected that for every sufficiently large valu…