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1. Introduction. Soit L un corps de nombres de degré n sur le corps ℚ des nombres rationnels de discriminant D = D L / . Si l’entier D n’est pas un carré, on note d le discriminant du corps quadratique ℚ(√D), sinon on pose d=1. Soit p un nombre premier non-ramifié dans L de sorte que le symbole des restes quadratiques (D/p) soit non-nul. Un théorème déjà ancien dû à A. Pellet ([3, page 245]), L. Stickelberger et G. Voronoï montre que la parité du nombre g d’idéaux premiers de L au-dessus de p...

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Introduction. Soit q une puissance d’un nombre premier p et soit q le corps fini à q éléments. Une certaine analogie entre l’arithmétique de l’anneau ℤ des entiers rationnels et celle de l’anneau q [ T ] a conduit à étendre à q [ T ] de nombreuses questions de l’arithmétique classique. L’équirépartition modulo 1 est une de ces questions. Le corps des nombres réels est alors remplacé par le corps q ( ( T - 1 ) ) des séries de Laurent formelles, complété du corps q ( T ) des fractions rationnelles pour la valuation à...