Smallest n for z^n equals conjugate^n

2050SpecialistComplex NumbersNumber Theory

HMMT November 2015 · 2015

Find the smallest positive integer $n$ such that there exists a complex number $z$, with positive real and imaginary part, satisfying $z^{n} = (ar{z})^{n}$.

0 students attempted0% solvedRating 2050

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Smallest n for z^n equals conjugate^n

2050SpecialistComplex NumbersNumber Theory

HMMT November 2015 · 2015

Find the smallest positive integer $n$ such that there exists a complex number $z$, with positive real and imaginary part, satisfying $z^{n} = (ar{z})^{n}$.

0 students attempted0% solvedRating 2050