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

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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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     title = {A {Divisor} {Problem} for {Values} of {Polynomials}},
     journal = {Canadian mathematical bulletin},
     pages = {108--115},
     year = {1992},
     volume = {35},
     number = {1},
     doi = {10.4153/CMB-1992-016-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-016-1/}
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