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Volumn 64, Issue 2, 1997, Pages 233-275

Addition of sets of integers of positive density

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EID: 0031164786     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jnth.1997.2123     Document Type: Article
Times cited : (20)

References (26)
  • 1
    • 21844492798 scopus 로고
    • Adding distinct congruence classes modulo a prime
    • Alon N., Nathanson M. B., Ruzsa I. Z. Adding distinct congruence classes modulo a prime. Amer. Math. Monthly. 102:1995;250-255.
    • (1995) Amer. Math. Monthly , vol.102 , pp. 250-255
    • Alon, N.1    Nathanson, M.B.2    Ruzsa, I.Z.3
  • 2
    • 0030079231 scopus 로고    scopus 로고
    • The polynomial method and restricted sums of congruence classes
    • Alon N., Nathanson M. B., Rusza I. Z. The polynomial method and restricted sums of congruence classes. J. Number Theory. 56:1996;404-417.
    • (1996) J. Number Theory , vol.56 , pp. 404-417
    • Alon, N.1    Nathanson, M.B.2    Rusza, I.Z.3
  • 3
    • 38249017809 scopus 로고
    • On a product of finite subsets in a torsion-free group
    • Brailovski L. V., Freiman G. A. On a product of finite subsets in a torsion-free group. J. Algebra. 130:1990;462-476.
    • (1990) J. Algebra , vol.130 , pp. 462-476
    • Brailovski, L.V.1    Freiman, G.A.2
  • 4
    • 0010965447 scopus 로고
    • Mathématiques Stochastiques, Univ. Bordeaux 2, Bordeaux
    • Y. Bilu, 1994, Structure of sets with small sumsets, Mathématiques Stochastiques, Univ. Bordeaux 2, Bordeaux.
    • (1994) Structure of Sets with Small Sumsets
    • Bilu, Y.1
  • 7
    • 84960563343 scopus 로고
    • Cyclic spaces for grassmann derivatives and additive theory
    • Dias da Silva J. A., Hamidoune Y. O. Cyclic spaces for Grassmann derivatives and additive theory. Bull. London Math. Soc. 26:1994;140-146.
    • (1994) Bull. London Math. Soc. , vol.26 , pp. 140-146
    • Dias Da Silva, J.A.1    Hamidoune, Y.O.2
  • 11
    • 0001344359 scopus 로고
    • What is the structure ofKKK
    • Chudnovsky D. V., Chudnovsky G. V., Cohn H., Nathanson M. B. Number Theory, New York, 1984-1985. New York/Berlin: Springer-Verlag
    • Freiman G. A. What is the structure ofKKK. Chudnovsky D. V., Chudnovsky G. V., Cohn H., Nathanson M. B. Number Theory, New York, 1984-1985. Lecture Notes in Math. 1240:1987;109-134 Springer-Verlag, New York/Berlin.
    • (1987) Lecture Notes in Math. , vol.1240 , pp. 109-134
    • Freiman, G.A.1
  • 13
    • 0000838163 scopus 로고
    • Lattice points
    • P.M. Gruber, & J.M. Wills. Amsterdam: North-Holland
    • Gritzann P., Wills J. M. Lattice points. Gruber P. M., Wills J. M. Handbook of Convex Geometry. 1993;765-797 North-Holland, Amsterdam.
    • (1993) Handbook of Convex Geometry , pp. 765-797
    • Gritzann, P.1    Wills, J.M.2
  • 15
    • 0003236377 scopus 로고
    • Fundamentals of the theory of groups
    • New York/Berlin: Springer-Verlag
    • Kargapolov M. I., Merzljakov Yu. I. Fundamentals of the Theory of Groups. Graduate Texts in Math. 62:1979;Springer-Verlag, New York/Berlin.
    • (1979) Graduate Texts in Math. , vol.62
    • Kargapolov, M.I.1    Merzljakov, Yu.I.2
  • 16
    • 51249193877 scopus 로고
    • On small sumsets in an abelian group
    • Kemperman I. H. B. On small sumsets in an abelian group. Acta Math. 103:1960;63-88.
    • (1960) Acta Math. , vol.103 , pp. 63-88
    • Kemperman, I.H.B.1
  • 17
    • 0001005479 scopus 로고
    • Abschätzung der asymptotischen dichte von summenmengen
    • Kneser M. Abschätzung der asymptotischen Dichte von Summenmengen. Math. Z. 58:1953;459-484.
    • (1953) Math. Z. , vol.58 , pp. 459-484
    • Kneser, M.1
  • 19
    • 51249183740 scopus 로고
    • How many slopes in a polygon?
    • Mansfield R. How many slopes in a polygon? Israel J. Math. 39:1981;265-272.
    • (1981) Israel J. Math. , vol.39 , pp. 265-272
    • Mansfield, R.1
  • 20
    • 0011029278 scopus 로고
    • An inverse theorem for sums of sets of lattice points
    • Nathanson M. B. An inverse theorem for sums of sets of lattice points. J. Number Theory. 46:1994;29-59.
    • (1994) J. Number Theory , vol.46 , pp. 29-59
    • Nathanson, M.B.1
  • 21
    • 0001134085 scopus 로고
    • Inverse theorems for subset sums
    • Nathanson M. B. Inverse theorems for subset sums. Trans. Amer. Math. Soc. 347:1995;1409-1418.
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 1409-1418
    • Nathanson, M.B.1
  • 24
    • 51249169996 scopus 로고
    • Arithmetical progressions and the number of sums
    • Ruzsa I. Z. Arithmetical progressions and the number of sums. Per. Math. Hung. 25:1992;105-111.
    • (1992) Per. Math. Hung. , vol.25 , pp. 105-111
    • Ruzsa, I.Z.1
  • 25
    • 0001686857 scopus 로고
    • Generalized arithmetical progressions and sumsets
    • Ruzsa I. Z. Generalized arithmetical progressions and sumsets. Acta Math. Hungar. 65:1994;379-388.
    • (1994) Acta Math. Hungar. , vol.65 , pp. 379-388
    • Ruzsa, I.Z.1
  • 26
    • 84960580261 scopus 로고
    • The critical pairs of subsets of a group of prime order
    • Vosper A. G. The critical pairs of subsets of a group of prime order. J. London Math. Soc. 31:1956;200-205.
    • (1956) J. London Math. Soc. , vol.31 , pp. 200-205
    • Vosper, A.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.