Old and New Problems and Results in Combinatorial Number Theory  . . .

Old and New Problems and Results in Combinatorial Number Theory . . . (1980)

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by P Erdős , R L. Graham

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44 - 3 self

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@MISC{Erdős80oldand,
    author = {P Erdős and R L. Graham},
    title = {Old and New Problems and Results in Combinatorial Number Theory . . . },
    year = {1980}
}

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Citations

259	On a problem of formal logic - Ramsey
104	On certain sets of integers - Roth - 1956
75	Regularity and positional games - Hales, Jewett - 1963
64	A Mathematical Incompleteness in Peano Arithmetic, in Handbook for Mathematical Logic - Paris, Harrington - 1977
59	Finite sums from sequences within cells of a partition of - Hindman - 1974
48	On sets of integers which contain no three terms in arithmetic progression - Behrend - 1946
41	Beweis einer Baudetschen Vermutung - Waerden - 1959
25	Nonrepetitive sequences - Pleasants - 1970
23	M.: Strongly non-repetitive sequences and progression-free sets - Dekking - 1979
20	A construction for partitions which avoid long arithmetic progressions - Berlekamp
16	Beatty sequences, continued fractions, and certain shift operators - Stolarsky - 1976
15	A short proof of Hindman’s theorem - Baumgartner - 1974
15	Sets of integers containing not more than a given number of terms in arithmetical progression - Rankin
12	On non-averaging sets of integers - Moser - 1953
11	Is there a sequence of four symbols in which no two adjacent segments are permutations of one another - BROWN - 1971
9	Problems and results on combinatorial number theory, in: A Survey of Combinatorial Theory - Erdős - 1973
9	Linear problems in combinatorial number theory - Komlos, Sulyok, et al. - 1975
7	The prime number graph - Pomerance - 1979
7	Verallgemeinerung Eines Satzes von van der Waerden mit Anwendungen auf ein Problem der - Rado - 1933
6	On permutations containing no long arithmetic progressions - Davis, Entringer, et al.
6	Ein kombinatorischer Satz der Elementargeometrie . Math . Nachr . 6 - WITT - 1952
4	On a conjecture of Erdös and Straus on non-averaging sets of integers - ABBOTT - 1975
4	A survey of finite Ramsey theorems - unknown authors - 1971
4	combinatorial number theory . Number theory, Carbondale 1979, ed - Ultrafilters - 1979
3	On a theorem of Uspensky - GRAHAM - 1963
3	Seventeen primes in arithmetic progression - WEINTRAUB - 1977
2	Über Sequenzen von Potenzresten - BRAUER - 1928
2	On integers of the form 2n+p and some related problems - ERDŐS
2	An ergodic theorem for commuting transformations - KATZNELSON - 1978
2	The sum of the reciprocals of a set of integers with no arithmetic progression of k terms - Gerver - 1977
2	sums and products of integers - Partitions
2	All right triangles are Ramsey - SHADER
2	A remark on coloring integers - SPENCER - 1972
2	On a problem arising out of the theory of a certain game - UsPENSKY - 1927
1	Lower bounds for certain types of van der Waerden numbers - unknown authors - 1972
1	On sets of integers not containing arithmetic progressions of prescribed length - Liu, J - 1974
1	Sets of lattice points that form no squares - SzEMERí, DI - 1974
1	theorem for sequences containing no k-element arithmetic progression of a certain type - Behrend's - 1975
1	Some unknown van der Waerden numbers - CHVáTAE - 1969
1	Extremal problems in number theory 11 - Math - 1950
1	results on combinatorial number theory 11 - Problems - 1976
1	Theorems 11, 111 . Colloq - Ramsey - 1975
1	Nonaveraging sets, 11 - ERDŐS, E - 1970
1	On some sequences of integers - unknown authors - 1936
1	The bracket function and complementary sets of integers - FRANKEL - 1969
1	exactly covering sequences - Complementary - 1973
1	SHIMSHONL Characterization of the set of values of [na - unknown authors - 1972
1	Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions - FURSTENSERG - 1977
1	On certain sequences of lattice points (to appear - unknown authors
1	Ultrafilters and semigroup Combinatorics - GLAZER