-
2
-
-
0037096602
-
A polynomial bound in Freiman's theorem
-
[C1]
-
[C1] M.-C. CHANG, A polynomial bound in Freiman's theorem, Duke Math. J. 113 (2002), 399-419.
-
(2002)
Duke Math. J.
, vol.113
, pp. 399-419
-
-
Chang, M.-C.1
-
3
-
-
85039663271
-
Factorization in generalized arithmetic progressions and applications to the Erdös-Szemerédi sum-product problems
-
[C2], to appear
-
[C2] _, Factorization in generalized arithmetic progressions and applications to the Erdös-Szemerédi sum-product problems, GAFA, to appear.
-
GAFA
-
-
-
4
-
-
0040056372
-
On the number of sums and products
-
[El]
-
[El] G. ELEKES, On the number of sums and products, Acta Arith. 81 (1997), 365-367.
-
(1997)
Acta Arith.
, vol.81
, pp. 365-367
-
-
Elekes, G.1
-
6
-
-
0037521578
-
Problems and results on combinatorial number theory. III
-
Number Theory Day (Proc. Conf. Rockefeller Univ., New York, 1976), Springer-Verlag, New York
-
[E] P. ERDÖS, Problems and results on combinatorial number theory. III, in Number Theory Day, 43-72 (Proc. Conf. Rockefeller Univ., New York, 1976), Lecture Notes in Math. 626, Springer-Verlag, New York, 1977.
-
(1977)
Lecture Notes in Math.
, vol.626
, pp. 43-72
-
-
Erdös, P.1
-
7
-
-
0001841212
-
On sums and products of integers
-
[E-S], Birkhäuser, Basel
-
[E-S] P. ERDÖS and E. SZEMERÉDI, On sums and products of integers, Studies in Pure Mathematics, Birkhäuser, Basel, 1983, 213-218.
-
(1983)
Studies in Pure Mathematics
, pp. 213-218
-
-
Erdös, P.1
Szemerédi, E.2
-
8
-
-
0038535624
-
-
[Fr1], A. M. S., Providence, RI
-
[Fr1] G. A. FREIMAN, Foundations of a Structural Theory of Set Addition, Transl. of Math. Monographs 37, A. M. S., Providence, RI, 1973.
-
(1973)
Foundations of a Structural Theory of Set Addition, Transl. of Math. Monographs
, vol.37
-
-
Freiman, G.A.1
-
9
-
-
0003119539
-
On the addition of finite sets. I
-
[Fr2]
-
[Fr2] _, On the addition of finite sets. I, Izv. Vysh. Ucheb. Zaved. Matematika 13 (1959), 202-213.
-
(1959)
Izv. Vysh. Ucheb. Zaved. Matematika
, vol.13
, pp. 202-213
-
-
-
10
-
-
0000110542
-
Inverse problems of additive number theory. VI. On the addition of finite sets. III
-
[Fr3]
-
[Fr3] _, Inverse problems of additive number theory. VI. On the addition of finite sets. III, Izv. Vysh. Ucheb. Zaved. Matematika 28 (1962), 151-187.
-
(1962)
Izv. Vysh. Ucheb. Zaved. Matematika
, vol.28
, pp. 151-187
-
-
-
11
-
-
0010992716
-
-
[H-T], Cambridge Univ. Press, Cambridge
-
[H-T] R. R. HALL and G. TENENBAUM, Divisors, Cambridge Tracts in Math. 90, Cambridge Univ. Press, Cambridge, 1988.
-
(1988)
Divisors, Cambridge Tracts in Math.
, vol.90
-
-
Hall, R.R.1
Tenenbaum, G.2
-
12
-
-
0000317731
-
Some connections between Falconer's distance set conjecture and sets of Furstenberg type
-
[K-T]
-
[K-T] N. KATZ and T. TAO, Some connections between Falconer's distance set conjecture and sets of Furstenberg type, New York J. Math. 7 (2001), 149-157.
-
(2001)
New York J. Math.
, vol.7
, pp. 149-157
-
-
Katz, N.1
Tao, T.2
-
13
-
-
0038196897
-
The number of homothetic subsets
-
[L-R] (R. L. Graham and J. Nesetril, eds.), Springer-Verlag, New York
-
[L-R] M. LACZKOVICH and I. Z. RUZSA, The number of homothetic subsets, in The Mathematics of P. Erdös, II (R. L. Graham and J. Nesetril, eds.), Springer-Verlag, New York, 1977, 294-302.
-
(1977)
The Mathematics of P. Erdös, II
, pp. 294-302
-
-
Laczkovich, M.1
Ruzsa, I.Z.2
-
14
-
-
0003705356
-
-
[Na1], Springer-Verlag, New York
-
[Na1] M. B. NATHANSON, Additive Number Theory. Inverse Problems and the Geometry of Sumsets, Grad. Texts in Math. 165, Springer-Verlag, New York, 1996.
-
(1996)
Additive Number Theory. Inverse Problems and the Geometry of Sumsets, Grad. Texts in Math.
, vol.165
-
-
Nathanson, M.B.1
-
15
-
-
33644950884
-
The simplest inverse problems in additive number theory
-
[Na2] (Provo, UT, 1991), Marcel Dekker, New York
-
[Na2] _, The simplest inverse problems in additive number theory, in Number Theory with an Emphasis on the Markloff Spectrum (Provo, UT, 1991), 191-206, Marcel Dekker, New York, 1993.
-
(1993)
Number Theory with an Emphasis on the Markloff Spectrum
, pp. 191-206
-
-
-
16
-
-
21444439641
-
On sums and products of integers
-
[Na3]
-
[Na3] _, On sums and products of integers, Proc. Amer. Math. Soc. 125 (1997), 9-16.
-
(1997)
Proc. Amer. Math. Soc.
, vol.125
, pp. 9-16
-
-
-
18
-
-
0013479974
-
Eine zahlentheoretische anwendung der graphtheorie
-
[P]
-
[P] H. PLÜNNECKE, Eine zahlentheoretische Anwendung der Graphtheorie, J. Reine Angew. Math. 243 (1970), 171-183.
-
(1970)
J. Reine Angew. Math.
, vol.243
, pp. 171-183
-
-
Plünnecke, H.1
-
19
-
-
0001430981
-
Trigonometric series with gaps
-
[R]
-
[R] W. RUDIN, Trigonometric series with gaps, J. Math. Mech. 9 (1960), 203-227.
-
(1960)
J. Math. Mech.
, vol.9
, pp. 203-227
-
-
Rudin, W.1
-
20
-
-
0001686857
-
Generalized arithmetical progressions and sumsets
-
[Ru]
-
[Ru] I. Z. RUZSA, 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
-
21
-
-
0001829451
-
Sums of finite sets
-
[Ru2] (New York, 1991-1995), Springer-Verlag, New York
-
[Ru2] _, Sums of finite sets, in Number Theory (New York, 1991-1995), Springer-Verlag, New York, 1996.
-
(1996)
Number Theory
-
-
-
22
-
-
51249182705
-
Extremal problems in discrete geometry
-
[S-T]
-
[S-T] E. SZEMERÉDI and W. TROTTER, Extremal problems in discrete geometry, Combinatorica 3 (1983), 381-392.
-
(1983)
Combinatorica
, vol.3
, pp. 381-392
-
-
Szemerédi, E.1
Trotter, W.2
-
23
-
-
0002623032
-
From rotating needles to stability of waves: Emerging connections between combinatorics, analysis, and PDE
-
[T]
-
[T] T. TAO, From rotating needles to stability of waves: emerging connections between combinatorics, analysis, and PDE, Notices Amer. Math. Soc. 48 (2001), 294-303.
-
(2001)
Notices Amer. Math. Soc.
, vol.48
, pp. 294-303
-
-
Tao, T.1
|