| Title:
|
On difference sets of sets of positive integers (English) |
| Author:
|
Máčaj, Martin |
| Author:
|
Paštéka, Milan |
| Author:
|
Šalát, Tibor |
| Author:
|
Žabka, Marek |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
53 |
| Issue:
|
2 |
| Year:
|
2003 |
| Pages:
|
129-144 |
| . |
| Category:
|
math |
| . |
| MSC:
|
05B10 |
| MSC:
|
11B05 |
| MSC:
|
11B13 |
| idZBL:
|
Zbl 1048.11008 |
| idMR:
|
MR1986256 |
| . |
| Date available:
|
2009-09-25T14:13:33Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136880 |
| . |
| Reference:
|
[1] BEREKOVÁ H.: On difference sets of sets of non-negative integers.Acta Fac Rerum Natur. Univ. Comenian. 27 (1972), 107-115. Zbl 0257.10035, MR 0318092 |
| Reference:
|
[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 1043085 |
| Reference:
|
[3] HARTER E.: Differenzen von Mengen nicht negative Zahlen.J. Reine Angew. Math. 232 (1968), 112-116. MR 0234902 |
| Reference:
|
[4] HOGGATT JR. V. E.-ALLADI K.: Limiting ratios of convalued recursive sequences.Fibbonacci Quart. 15 (1977), 211-214. MR 0480313 |
| Reference:
|
[5] KOMINEK Z.: On the sum and difference of two sets in topological vector spaces.Fund. Math. 71 (1971), 165-169. Zbl 0214.37403, MR 0293363 |
| Reference:
|
[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. Zbl 0218.28001, MR 0304594 |
| Reference:
|
[7] KURATOWSKI C.: Topologie I.PWN, Warszawa, 1958. |
| Reference:
|
[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 0130672 |
| Reference:
|
[9] NEUBRUNN T.-ŠALÁT T.: Distance sets, ratio sets and certain transformations of sets of real numbers.Časopis Pӗst. Mat. 94 (1969), 381-393. Zbl 0188.11501, MR 0257309 |
| Reference:
|
[10] OSTMANN H. H.: Additive Zahlen - Theorie I.Springеr-Vеrlag, Bеrlin-Gottingen-Hеidelbеrg, 1956. MR 0098721 |
| Reference:
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[11] ŠALÁT T.: On sets of distances of linear discontinuous.Časopis Pěst. Mat. 87 (1962), 4-16. (Russian) MR 0180959 |
| Reference:
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[12] ŠALÁT T.: Über die Cantorsche Reihen.Czechoslovak Math. J. 18 (1968), 25-56. MR 0223305 |
| Reference:
|
[13] SIERPIŃSKI W.: Sur une propriete des nombres naturels.Elem. Math. 19 (1964), 27-29. Zbl 0118.04908, MR 0160747 |
| Reference:
|
[14] SILVERMAN S.: Intervals contained in arithmetic combinations of sets.Amer. Math. Monthly 102 (1995), 351-353. Zbl 0838.28002, MR 1328021 |
| Reference:
|
[15] STEINHAUS H.: Sur les distances des points des ensembles de measure positive.Fund. Math. 1 (1920), 99-104. |
| Reference:
|
[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 0075228 |
| Reference:
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[17] VOLKMANN B.: Zwei Bemerkungen über pseudorationale Mengen.J. Reine Angew. Math. 193 (1954), 126-128. MR 0064848 |
| Reference:
|
[18] VOROBJOV N. N.: Fibonacci Numbers.Gos. Izd. Tech.-Teoret. Lit., Moscow-Lеningrad, 1951. (Russian) |
| Reference:
|
[19] WHEEDEN R. L.-ZYMUND A.: Measure and Integrals.Marcel Dekker, New York, 1977. |
| Reference:
|
[20] VOLKMANN B.: Über Hausdorfsche Dimensionen von Mengen, die durch Ziffereigenschaften charakterisiert sind.Math. Z. 59 (1953), 259-270. MR 0059338 |
| . |
