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Currently displaying 1 – 8 of 8

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Conjugate Algebraic Integers on a Circle with Irrational Center.

Veikko Ennola — 1973

Mathematische Zeitschrift

On a Theorem of erdös and Turan.

Veikko Ennola — 1968

Mathematica Scandinavica

Solution of a cyclotomic diophantine equation.

Veikko Ennola — 1975

Journal für die reine und angewandte Mathematik

Proof of a conjecture of Morris Newman.

Veikko Ennola — 1973

Journal für die reine und angewandte Mathematik

A note on a cyclotomic diophantine equation

Veikko Ennola — 1975

Acta Arithmetica

On the representation of units by cyclotomic polynomials

Veikko Ennola — 1980

Acta Arithmetica

Fundamental units in a family of cubic fields

Veikko Ennola — 2004

Journal de Théorie des Nombres de Bordeaux

Let $𝒪$ be the maximal order of the cubic field generated by a zero $ε$ of $x^{3} + (ℓ - 1) x^{2} - ℓ x - 1$ for $ℓ \in ℤ$ , $ℓ \geq 3$ . We prove that $ε, ε - 1$ is a fundamental pair of units for $𝒪$ , if $[𝒪 : ℤ [ε]] \leq ℓ / 3 .$

Conjugate algebraic numbers on circles

Veikko Ennola; C. Smyth — 1976

Acta Arithmetica

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