Geodesic
Comportement Asymptotique de
Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 309-317

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

Let {x} denote the fractional part of x. We find an asymptotic formula of , where k is any positive integer and a is any real number ≥ 1, and so for the sum ∑n<xf(n), where f(n) belongs to a class of additive functions.
DOI : 10.4153/CMB-1987-044-9
Mots-clés : 10H25 
Mercier, Armel. Comportement Asymptotique de. Canadian mathematical bulletin, Tome 30 (1987) no. 3, pp. 309-317. doi: 10.4153/CMB-1987-044-9
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[1] 1. Erdös, P. et Alladi, K., On an additive arithmetic function, Pacific Journal of Math 71 (1977), pp. 275–294. Google Scholar

[2] 2. Koninck, J. M. De et Ivíc, A., The distribution of the average prime divisor of an integer, Arch. Math. 43 (1984), pp. 37–43. Google Scholar

[3] 3. Koninck, J. M. De et Mercier, A., Fonctions arithmétiques tronquées, à paraître. Google Scholar

[4] 4. Ferguson, R.P., An application ofStieltjes integration to the power series coefficients of the Riemann zeta function, Amer. Math. Monthly 70 (1963), pp. 60–61. Google Scholar

[5] 5. Ishibashi, M. et Kanemitsu, S., On fractional part sums and divisor functions, Proceedings of the Conference on Number Theory, Okayama, Jan. 84. Google Scholar

[6] 6. Mercier, A., Sums containing the fractional parts of numbers, Rocky Mountain Journal of Math. 15 (1985), pp. 513–520. Google Scholar

[7] 7. Mercier, A. et Nowak, W.G., On the behaviour of sums Monatshefte für Math. 99 (1985), pp. 213–221. Google Scholar

[8] 8. Landau, E., Primzahlen, Chelsea Publishing Company. Google Scholar

[9] 9. Segal, S.L., On prime-independent additive functions, Archiv der Mathematik 17 (1966), pp. 329–332. Google Scholar

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