On a conjecture of R. L. Graham

R. Balasubramanian; K. Soundararajan

Acta Arithmetica (1996)

  • Volume: 75, Issue: 1, page 1-38
  • ISSN: 0065-1036

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R. Balasubramanian, and K. Soundararajan. "On a conjecture of R. L. Graham." Acta Arithmetica 75.1 (1996): 1-38. <http://eudml.org/doc/206861>.

@article{R1996,
author = {R. Balasubramanian, K. Soundararajan},
journal = {Acta Arithmetica},
keywords = {divisors; Graham conjecture; strong Graham conjecture},
language = {eng},
number = {1},
pages = {1-38},
title = {On a conjecture of R. L. Graham},
url = {http://eudml.org/doc/206861},
volume = {75},
year = {1996},
}

TY - JOUR
AU - R. Balasubramanian
AU - K. Soundararajan
TI - On a conjecture of R. L. Graham
JO - Acta Arithmetica
PY - 1996
VL - 75
IS - 1
SP - 1
EP - 38
LA - eng
KW - divisors; Graham conjecture; strong Graham conjecture
UR - http://eudml.org/doc/206861
ER -

References

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  1. [1] R. D. Boyle, On a problem of R. L. Graham, Acta Arith. 34 (1978), 163-177. 
  2. [2] F. Y. Cheng and C. Pomerance, On a conjecture of R. L. Graham, Rocky Mountain J. 24 (1994), 961-975. 
  3. [3] C. Cobeli, M. Vâjâitu and A. Zaharescu, Graham's conjecture under Riemann hypothesis, J. Number Theory 31 (1989), 80-87. 
  4. [4] P. Erdős and R. L. Graham, Old and New Problems and Results in Combinatorial Number Theory, Monographie No. 28 de L'Enseignement Mathématique, Genève, 1980. Zbl0434.10001
  5. [5] R. L. Graham, Advanced Problem 5749*, Amer. Math. Monthly 77 (1970), 775. 
  6. [6] H. L. Montgomery and R. C. Vaughan, The large sieve, Mathematika 20 (1973), 119-134. Zbl0296.10023
  7. [7] H. Riesel, Prime Numbers and Computer Methods for Factorization, Progr. Math. 57, Birkhäuser, 1985. 
  8. [8] J. B. Rosser and L. Schoenfeld, Sharper bounds for the Chebyshev functions θ(x) and ψ(x), Math. Comp. 29 (1975), 243-269. Zbl0295.10036
  9. [9] M. Szegedy, The solution of Graham's greatest common divisor problem, Combinatorica 6 (1986), 67-71. Zbl0593.10002
  10. [10] W. Y. Vélez, Some remarks on a number theoretic problem of Graham, Acta Arith. 32 (1977), 233-238. Zbl0313.10002
  11. [11] R. Winterle, A problem of R. L. Graham in Combinatorial Number Theory, in: Proc. of the Louisiana Conference on Combinatorics, Baton Rouge, 1970, 357-361. 
  12. [12] A. Zaharescu, On a conjecture of Graham, J. Number Theory 27 (1987), 33-40. Zbl0629.10003

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