PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
1993 | 65 | 2 | 201-211
Tytuł artykułu

Some solved and unsolved problems in combinatorial number theory, ii

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In an earlier paper [9], the authors discussed some solved and unsolved problems in combinatorial number theory. First we will give an update of some of these problems. In the remaining part of this paper we will discuss some further problems of the two authors.
Słowa kluczowe
Rocznik
Tom
65
Numer
2
Strony
201-211
Opis fizyczny
Daty
wydano
1993
otrzymano
1992-09-23
Twórcy
autor
autor
  • Mathematical Institute, Hungarian Academy of Sciences, P.O. Box 127, H-1364 Budapest, Hungary
Bibliografia
  • [1] M. Ajtai, J. Komlós and E. Szemerédi, A dense infinite Sidon sequence, European J. Combin. 2 (1981), I-II.
  • [2] J. Beck, Roth's estimate of the discrepancy of integer sequences is nearly sharp, Combinatorica 1 (1981), 319-325.
  • [3] P. Erdős, Problems and results on consecutive integers, Publ. Math. Debrecen 23 (1976), 271-282.
  • [4] P. Erdős and R. Freud, On Sidon sequences and related problems, Mat. Lapok 1 (1991), 1-44 (in Hungarian with English summary).
  • [5] P. Erdős, C. Pomerance and A. Sárközy, On locally repeated values of certain arithmetic functions, I, J. Number Theory 21 (1985), 319-332.
  • [6] P. Erdős, C. Pomerance and A. Sárközy,On locally repeated values of certain arithmetic functions, II, Acta Math. Acad. Sci. Hungar. 49 (1987), 251-259.
  • [7] P. Erdős, C. Pomerance and A. Sárközy,On locally repeated values of certain arithmetic functions, III, Proc. Amer. Math. Soc. 101 (1987), 1-7.
  • [8] P. Erdős and A. Sárközy, On differences and sums of integers, II, Bull. Greek Math. Soc. 18 (1977), 204-223.
  • [9] P. Erdős and A. Sárközy, Some solved and unsolved problems in combinatorial number theory, Math. Slovaca 28 (1978), 407-421.
  • [10] P. Erdős and A. Sárközy, On products of integers, II, Acta Sci. Math. (Szeged) 40 (1978), 243-259.
  • [11] P. Erdős and A. Sárközy, On the prime factors of $n\choose k$ and of consecutive integers, Utilitas Math. 16 (1979), 197-215.
  • [12] P. Erdős and A. Sárközy, Some asymptotic formulas on generalized divisor functions, I, in: Studies in Pure Mathematics, To the Memory of Paul Turán, Akadémiai Kiadó, 1983, 165-179.
  • [13] P. Erdős and A. Sárközy, Some asymptotic formulas on generalized divisor functions, II, J. Number Theory 15 (1982), 115-136.
  • [14] P. Erdős and A. Sárközy, Some asymptotic formulas on generalized divisor functions, III, Acta Arith. 41 (1982), 395-411.
  • [15] P. Erdős and A. Sárközy, Some asymptotic formulas on generalized divisor functions, IV, Studia Sci. Math. Hungar. 15 (1980), 467-479.
  • [16] P. Erdős and A. Sárközy, Problems and results on additive properties of general sequences, I, Pacific J. Math. 118 (1985), 347-357.
  • [17] P. Erdős and A. Sárközy, Problems and results on additive properties of general sequences, II, Acta Math. Acad. Sci. Hungar. 48 (1986), 201-211.
  • [18] P. Erdős and A. Sárközy, On a conjecture of Roth and some related problems, II, in: Number Theory, Proc. First Conference of the Canadian Number Theory Association (Banff, Alberta, 1988), R. A. Mollin (ed.), Walter de Gruyter, Berlin 1990, 125-138.
  • [19] P. Erdős and A. Sárközy, On sets of coprime integers in intervals, Hardy-Ramanujan J., to appear.
  • [20] P. Erdős and A. Sárközy, Arithmetic progressions in subset sums, Discrete Math. 102 (1992), 249-264.
  • [21] P. Erdős, A. Sárközy and V. T. Sós, Problems and results on additive properties of general sequences, III, Studia Sci. Math. Hungar. 22 (1987), 53-63.
  • [22] P. Erdős, A. Sárközy and V. T. Sós, Problems and results on additive properties of general sequences, IV, in: Number Theory, Proceedings, Ootacamund, India 1984; Springer, 1985, 85-104.
  • [23] P. Erdős, A. Sárközy and V. T. Sós, Problems and results on additive properties of general sequences, V, Monatsh. Math. 102 (1986), 183-197.
  • [24] P. Erdős, A. Sárközy and V. T. Sós, On a conjecture of Roth and some related problems, I, in: Colloq. Math. Soc. János Bolyai, to appear.
  • [25] P. Erdős, A. Sárközy and V. T. Sós, On product representations of powers, I, to appear.
  • [26] P. Erdős, A. Sárközy and E. Szemerédi, On some extremal properties of sequences of integers, Ann. Univ. Sci. Budapest. Eötvös 12 (1969), 131-135.
  • [27] P. Erdős, A. Sárközy and E. Szemerédi, On some extremal properties of sequences of integers, II, Publ. Math. Debrecen 27 (1980), 117-125.
  • [28] P. Erdős and J. Selfridge, Some problems on the prime factors of consecutive integers, Illinois J. Math. 11 (1967), 428-430.
  • [29] J. Komlós, J. Pintz and E. Szemerédi, A lower bound for Heilbronn's problem, J. London Math. Soc. (2) 25 (1982), 13-24.
  • [30] K. F. Roth, On a problem of Heilbronn, ibid. (1) 26 (1951), 198-204.
  • [31] K. F. Roth, Remark concerning integer sequences, Acta Arith. 9 (1964), 257-260.
  • [32] I. Z. Ruzsa, On measures of intersectivity, Acta Math. Hungar. 43 (1984), 335-340.
  • [33] R. P. Stanley, Weyl groups, the hard Lefschetz theorem and the Sperner property, SIAM J. Algebraic Discrete Methods 1 (1980), 168-184.
  • [34] A. Stöhr, Gelöste und ungelöste Fragen über Basen der natürlichen Zahlenreihe, II, J. Reine Angew. Math. 194 (1955), 111-140.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-cmv65i2p201bwm
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.