On the distribution of integral and prime divisors with equal norms

Moroz, Baruch Z.

Annales de l'Institut Fourier, Tome 34 (1984) no. 4, pp. 1-17.

Dans des extensions finies galoisiennes $k_1,...,k_r$ de $\mathbf{Q}$ de discriminants premiers entre eux deux à deux, les diviseurs entiers et les diviseurs premiers soumis à la condition $N_{k_1/\mathbf{Q}}{𝔞}_r=\cdots =N_{k_r/\mathbf{Q}}{𝔞}_r$ sont équidistribués dans le sens de E. Hecke.

In finite Galois extensions $k_1,...,k_r$ of $\mathbf{Q}$ with pairwise coprime discriminants the integral and the prime divisors subject to the condition $N_{k_1/\mathbf{Q}}{𝔞}_r=\cdots =N_{k_r/\mathbf{Q}}{𝔞}_r$ are equidistributed in the sense of E. Hecke.

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