A Divisor Problem for Values of Polynomials

Armel Mercier, Werner Georg Nowak

Type: Article

Publication Date: 1992-03-01

Citations: 0

DOI: https://doi.org/10.4153/cmb-1992-016-1

Abstract

Abstract In this article we investigate the average order of the arithmetical function where p 1 (t), p 2 (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.

Locations

Canadian Mathematical Bulletin - View - PDF

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Works Cited by This (6)

Action	Title	Year	Authors
+	Einführung in die Gitterpunktlehre	1982	François Fricker
+	On a divisor problem in arithmetic progressions	1989	Werner Georg Nowak
+	On the divisor and circle problems	1988	Henryk Iwaniec C. J. Mozzochi
+ PDF Chat	The Average Number of Divisors in an Arithmetic Progression	1981	Robert A. Smith M. V. Subbarao
+ PDF Chat	On a Result of Smith and Subbarao Concerning a Divisor Problem	1984	Werner Georg Nowak
+	Lattice points in planar domains: Applications of Huxley's ‘discrete hardy-littlewood method’	1990	Wolfgang Müller Werner Georg Nowak