A Divisor Problem for Values of Polynomials
Canadian mathematical bulletin, Tome 35 (1992) no. 1, pp. 108-115

Voir la notice de l'article provenant de la source Cambridge University Press

In this article we investigate the average order of the arithmetical function where p1(t), p2(t) are polynomials in Z [t], of equal degree, positive and increasing for t ≥ 1. Using the modern method for the estimation of exponential sums ("Discrete Hardy-Littlewood Method"), we establish an asymptotic result which is as sharp as the best one known for the classical divisor problem.
DOI : 10.4153/CMB-1992-016-1
Mots-clés : 10H25, 10G10, 10J25.
Mercier, Armel; Nowak, Werner Georg. A Divisor Problem for Values of Polynomials. Canadian mathematical bulletin, Tome 35 (1992) no. 1, pp. 108-115. doi: 10.4153/CMB-1992-016-1
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