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On the group of circular units of any compositum of quadratic fields

Zdeněk Polický — 2009

Acta Arithmetica

Diophantine equation $\frac{q^{n} - 1}{q - 1} = y$ for four prime divisors of $y - 1$

Zdeněk Polický — 2005

Commentationes Mathematicae Universitatis Carolinae

In this paper the special diophantine equation $\frac{q^{n} - 1}{q - 1} = y$ with integer coefficients is discussed and integer solutions are sought. This equation is solved completely just for four prime divisors of $y - 1$ .

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On the group of circular units of any compositum of quadratic fields

Diophantine equation q n - 1 q - 1 = y for four prime divisors of y - 1

Diophantine equation $\frac{q^{n} - 1}{q - 1} = y$ for four prime divisors of $y - 1$