@article{MASLO_2003_53_2_a1,
author = {M\'a\v{c}aj, Martin and Pa\v{s}t\'eka, Milan and \v{S}al\'at, Tibor and \v{Z}abka, Marek},
title = {On difference sets of sets of positive integers},
journal = {Mathematica slovaca},
pages = {129--144},
year = {2003},
volume = {53},
number = {2},
mrnumber = {1986256},
zbl = {1048.11008},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MASLO_2003_53_2_a1/}
}
Máčaj, Martin; Paštéka, Milan; Šalát, Tibor; Žabka, Marek. On difference sets of sets of positive integers. Mathematica slovaca, Tome 53 (2003) no. 2, pp. 129-144. http://geodesic.mathdoc.fr/item/MASLO_2003_53_2_a1/
[1] BEREKOVÁ H.: On difference sets of sets of non-negative integers. Acta Fac Rerum Natur. Univ. Comenian. 27 (1972), 107-115. | MR | Zbl
[2] BROWN T. C.-FREEDMAN A. R.: The uniform density of sets of integers and Fermaťs last theorem. C R. Math. Rep. Acad. Sci. Canada 12 (1990), 1-6. | MR
[3] HARTER E.: Differenzen von Mengen nicht negative Zahlen. J. Reine Angew. Math. 232 (1968), 112-116. | MR
[4] HOGGATT JR. V. E.-ALLADI K.: Limiting ratios of convalued recursive sequences. Fibbonacci Quart. 15 (1977), 211-214. | MR
[5] KOMINEK Z.: On the sum and difference of two sets in topological vector spaces. Fund. Math. 71 (1971), 165-169. | MR | Zbl
[6] KUCZMA M. E.-KUCZMA M.: An elementary proof and an extension of a theorem of Steinhaus. Glas. Mat. Ser. III 6(26) (1971), 11-18. | MR | Zbl
[7] KURATOWSKI C.: Topologie I. PWN, Warszawa, 1958.
[8] NEUBRUNN T.-ŠALÁT T.: On sets of distances of sets of a metric space. Mat.-Fyz. Časopis SAV 9 (1959), 222-235. (Slovak) | MR
[9] NEUBRUNN T.-ŠALÁT T.: Distance sets, ratio sets and certain transformations of sets of real numbers. Časopis Pӗst. Mat. 94 (1969), 381-393. | MR | Zbl
[10] OSTMANN H. H.: Additive Zahlen - Theorie I. Springеr-Vеrlag, Bеrlin-Gottingen-Hеidelbеrg, 1956. | MR
[11] ŠALÁT T.: On sets of distances of linear discontinuous. Časopis Pěst. Mat. 87 (1962), 4-16. (Russian) | MR
[12] ŠALÁT T.: Über die Cantorsche Reihen. Czechoslovak Math. J. 18 (1968), 25-56. | MR
[13] SIERPIŃSKI W.: Sur une propriete des nombres naturels. Elem. Math. 19 (1964), 27-29. | MR | Zbl
[14] SILVERMAN S.: Intervals contained in arithmetic combinations of sets. Amer. Math. Monthly 102 (1995), 351-353. | MR | Zbl
[15] STEINHAUS H.: Sur les distances des points des ensembles de measure positive. Fund. Math. 1 (1920), 99-104.
[16] STOHR W.: Geloste und ungeloste Fragen über Basen naturlichen Zahle - Reihe I; II. J. Reine Angew. Math. 194 (1955), 40-65; 111-140. | MR
[17] VOLKMANN B.: Zwei Bemerkungen über pseudorationale Mengen. J. Reine Angew. Math. 193 (1954), 126-128. | MR
[18] VOROBJOV N. N.: Fibonacci Numbers. Gos. Izd. Tech.-Teoret. Lit., Moscow-Lеningrad, 1951. (Russian)
[19] WHEEDEN R. L.-ZYMUND A.: Measure and Integrals. Marcel Dekker, New York, 1977.
[20] VOLKMANN B.: Über Hausdorfsche Dimensionen von Mengen, die durch Ziffereigenschaften charakterisiert sind. Math. Z. 59 (1953), 259-270. | MR