Roots with common tails
classification
🧮 math.NT
keywords
polynomialscommonrootscharacterizecontinuedcubicdegreedistinct
read the original abstract
Some cubic polynomials over the integers have three distinct real roots with continued fractions that all have the same common tail. We characterize the polynomials for which this happens, and then investigate the situation for other polynomials of low degree.
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