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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
@article{10_4153_CMB_1992_016_1,
author = {Mercier, Armel and Nowak, Werner Georg},
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/}
}
TY - JOUR AU - Mercier, Armel AU - Nowak, Werner Georg TI - A Divisor Problem for Values of Polynomials JO - Canadian mathematical bulletin PY - 1992 SP - 108 EP - 115 VL - 35 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-016-1/ DO - 10.4153/CMB-1992-016-1 ID - 10_4153_CMB_1992_016_1 ER -
[1] 1. Flicker, F., Einfuhrung in die Gitterpunktlehre, Birkhàuser, Basel-Boston-Stuttgart, 1982. Google Scholar
[2] 2. Huxley, M.N., Exponential sums and lattice points, Proc. London Math. Soc. (3) 60 (1990), 471–502. Google Scholar
[3] 3. Iwaniec, H., and Mozzochi, C.J., On the divisor and circle problems, J. Number Th. 29 (1988), 60–93. Google Scholar
[4] 4. Krâtzel, E., Lattice points, Kluwer Acad. Publ., Dordrecht-Boston-London, 1988. Google Scholar
[5] 5. Kuba, G., Neuere Methoden der Gitterpunktlehre und spezielle zahlentheoretische Funktionen, Thesis, Vienna University, 1990. Google Scholar
[6] 6. Kuba, G., and Nowak, W.G., On representations of positive integers as a sum of two polynomials, Arch. Math. (Basel), to appear. Google Scholar
[7] 7. Miiller, W., and Nowak, W.G., Lattice points in planar domains: Applications of Huxley's “Discrete Hardy- Littlewood method”, in: “Number theoretic analysis”, Vienna 1988-89, Springer Lecture Notes 1452 (eds. E. Hlawka and R. F. Tichy), 1990, pp. 139–164. Google Scholar
[8] 8. Nowak, W.G., On a result of Smith and Subbarao concerning a divisor problem, Can. Math. Bull. 27 (1984), 501–504. Google Scholar
[9] 9. Nowak, W.G., On a divisor problem in arithmetic progressions. J. Number Theory 31 (1989), 174–182. Google Scholar
[10] 10. Smith, R.A., and Subbarao, M.V., The average number of divisors in an arithmetic progression, Can. Math. Bull. 24 (1981), 37–41. Google Scholar
[11] 11. Varbanec, P.D., and Zarzycki, P., Divisors of integers in arithmetic progressions, Can. Math. Bull. 33 ( 1990), 129–134. Google Scholar
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