TY  - JOUR
AU  - Szemerédi, Endre
TI  - Integer Sets Containing NO Arithmetic Progressions
JF  - ACTA MATHEMATICA HUNGARICA
J2  - ACTA MATH HUNG
VL  - 56
PY  - 1990
IS  - 1-2
SP  - 155
EP  - 158
PG  - 4
SN  - 0236-5294
DO  - 10.1007/BF01903717
UR  - https://m2.mtmt.hu/api/publication/1093740
ID  - 1093740
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Frankl, Péter
AU  - Graham, RL
AU  - Rödl, V
TI  - On subsets of abelian groups with no 3-term arithmetic progression
JF  - JOURNAL OF COMBINATORIAL THEORY SERIES A
J2  - J COMB THEORY A
VL  - 45
PY  - 1987
IS  - 1
SP  - 157
EP  - 161
PG  - 5
SN  - 0097-3165
DO  - 10.1016/0097-3165(87)90053-7
UR  - https://m2.mtmt.hu/api/publication/2189231
ID  - 2189231
N1  - Cited By :32            
            Export Date: 29 February 2024            
            CODEN: JCBTA            
            Correspondence Address: Frankl, P.; C.N.R.S., Paris, France
AB  - A short proof of the following result of Brown and Buhler is given: For any ε{lunate} > 0 there exists n0 = n0(ε{lunate}) such that if A is an abelian group of odd order |A| > n0 and B ⊆ A with |B| > ε{lunate}|A|, then B must contain three distinct elements x, y, z satisfying x + y = 2z. © 1987.
LA  - English
DB  - MTMT
ER  -