On prime factors of sums of integers I

K. Györy; C. L. Stewart; R. Tijdeman

Compositio Mathematica (1986)

  • Volume: 59, Issue: 1, page 81-88
  • ISSN: 0010-437X

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Györy, K., Stewart, C. L., and Tijdeman, R.. "On prime factors of sums of integers I." Compositio Mathematica 59.1 (1986): 81-88. <http://eudml.org/doc/89784>.

@article{Györy1986,
author = {Györy, K., Stewart, C. L., Tijdeman, R.},
journal = {Compositio Mathematica},
keywords = {number of distinct prime factors; prime divisors; sums of integers; greatest prime factor},
language = {eng},
number = {1},
pages = {81-88},
publisher = {Martinus Nijhoff Publishers},
title = {On prime factors of sums of integers I},
url = {http://eudml.org/doc/89784},
volume = {59},
year = {1986},
}

TY - JOUR
AU - Györy, K.
AU - Stewart, C. L.
AU - Tijdeman, R.
TI - On prime factors of sums of integers I
JO - Compositio Mathematica
PY - 1986
PB - Martinus Nijhoff Publishers
VL - 59
IS - 1
SP - 81
EP - 88
LA - eng
KW - number of distinct prime factors; prime divisors; sums of integers; greatest prime factor
UR - http://eudml.org/doc/89784
ER -

References

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  1. [1] A. Baker: The theory of linear forms in logarithms. In: A. Baker and D.W. Masser (eds.), Transcendence theory: Advances and applications, London and New York: Academic Press (1977), pp. 1-27. Zbl0361.10028MR498417
  2. [2] A. Balog and A. Sárközy: On sums of sequences of integers, II, Acta Math. Hungar., to appear. Zbl0559.10034MR759044
  3. [3] P. Erdös: Problems in number theory and combinatorics. Proc. 6th Manitoba Conference on Numerical Math. (1976), pp. 35-58. Zbl0471.10002MR422031
  4. [4] P. Erdös and P. Turán: On a problem in the elementary theory of numbers. Amer. Math. Monthly41 (1934), 608-611. Zbl0010.29401MR1523239JFM60.0917.05
  5. [5] J.-H. Evertse: On sums of S-units and linear recurrences. Compositio Math.53 (1984) 225-244. Zbl0547.10008MR766298
  6. [6] J.-H. Evertse: On equations in S-units and the Thue-Mahler equation. Invent. Math.75 (1984) 561-584. Zbl0521.10015MR735341
  7. [7] A.J. Van Der Poorten: Linear forms in logarithms in the p-adic case. In: A. Baker and D.W. Masser (eds.), Transcendence theory: Advances and applications, London and New York: Academic Press (1977), pp. 29-57. Zbl0367.10034MR498418
  8. [8] A.J. Van Der Poorten and H.P. Schlickewei: The growth conditions for recurrence sequences. Macquarie Math. Report 82-0041(1982). 
  9. [9] J. Barkly Rosser and L. Schoenfeld: Approximate formulas for some functions of prime numbers. Illinois J. Math.6 (1962), 64-94. Zbl0122.05001MR137689
  10. [10] A. Sárközy and C.L. Stewart: On divisors of sums of integers I. Acta Math. Hungar., to appear. Zbl0612.10042MR858392
  11. [11] A. Sárközy and C.L. Stewart: On divisors of sums of integers II. J. Reine Angew. Math., to appear. Zbl0578.10045MR826157
  12. [12] C.L. Stewart and R. Tijdeman: On prime factors of sums of integers II, In: J.H. Loxton and A.J. van der Poorten (eds.), Diophantine Analysis, Cambridge University Press, to appear. Zbl0602.10032MR874122

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