@article{MASLO_1991_41_3_a7,
author = {Pa\v{s}t\'eka, Milan and \v{S}al\'at, Tibor},
title = {Buck's measure density and sets of positive integers containing arithmetic progression},
journal = {Mathematica slovaca},
pages = {283--293},
year = {1991},
volume = {41},
number = {3},
mrnumber = {1126665},
zbl = {0761.11004},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MASLO_1991_41_3_a7/}
}
TY - JOUR AU - Paštéka, Milan AU - Šalát, Tibor TI - Buck's measure density and sets of positive integers containing arithmetic progression JO - Mathematica slovaca PY - 1991 SP - 283 EP - 293 VL - 41 IS - 3 UR - http://geodesic.mathdoc.fr/item/MASLO_1991_41_3_a7/ LA - en ID - MASLO_1991_41_3_a7 ER -
Paštéka, Milan; Šalát, Tibor. Buck's measure density and sets of positive integers containing arithmetic progression. Mathematica slovaca, Tome 41 (1991) no. 3, pp. 283-293. http://geodesic.mathdoc.fr/item/MASLO_1991_41_3_a7/
[1] BUCK R. C.: The measure theoretic approach to density. Amer. J. Math. LXVIII (1946), 560-580. | MR | Zbl
[2] DINCULEANU N.: Vector Measures. VEB Deutscher Verlag der Wissen, Berlin, 1966 | MR | Zbl
[3] ERDÖS P., NATHANSON M. B., SÁRKÖZY A.: Sumsets containing infinite arithmetic progressions. J. Number Theory 28 (1988), 159-166. | MR | Zbl
[4] HARDY G. H., WRIGHT E. M.: An Introduction to the Theory of Numbers. 3rd ed., Oxford, 1954. | MR | Zbl
[5] MAHARAM D.: Finitely additive measures on the integers. Sankhya: The Indian J, Stat. Ser. A 38 (1976), 44-59. | MR | Zbl
[6] PAŠTÉKA M.: Some properties of Buck's measure density. (To appear.). | Zbl
[7] SIERPIŃSKI W.: Elementary Theory of Numbers. PWN, Warszawa, 1964. | MR | Zbl
[8] SIKORSKI R.: Funkcje rzeczywiste I. PWN, Warszawa, 1958. | MR
[9] SZEMEREDI E.: On sets of integers containing no k elements in arithmetic progression. Acta Arithm. 27 (1975), 199-245. | MR