The divisor problem for binary cubic forms

Browning, Tim

Journal de théorie des nombres de Bordeaux, Tome 23 (2011) no. 3, pp. 579-602.

Nous étudions l’ordre moyen du nombre de diviseurs des valeurs de certaines formes binaires cubiques qui ne sont pas irréductibles sur $\mathbb{Q}$ et discutons quelques applications.

We investigate the average order of the divisor function at values of binary cubic forms that are reducible over $\mathbb{Q}$ and discuss some applications.

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