On a conjecture of R. L. Graham
R. Balasubramanian ; K. Soundararajan
Acta Arithmetica, Tome 76 (1996), p. 1-38 / Harvested from The Polish Digital Mathematics Library
Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:206861
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     author = {R. Balasubramanian and K. Soundararajan},
     title = {On a conjecture of R. L. Graham},
     journal = {Acta Arithmetica},
     volume = {76},
     year = {1996},
     pages = {1-38},
     zbl = {0853.11002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav75i1p1bwm}
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R. Balasubramanian; K. Soundararajan. On a conjecture of R. L. Graham. Acta Arithmetica, Tome 76 (1996) pp. 1-38. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav75i1p1bwm/

[000] [1] R. D. Boyle, On a problem of R. L. Graham, Acta Arith. 34 (1978), 163-177.

[001] [2] F. Y. Cheng and C. Pomerance, On a conjecture of R. L. Graham, Rocky Mountain J. 24 (1994), 961-975.

[002] [3] C. Cobeli, M. Vâjâitu and A. Zaharescu, Graham's conjecture under Riemann hypothesis, J. Number Theory 31 (1989), 80-87.

[003] [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. | Zbl 0434.10001

[004] [5] R. L. Graham, Advanced Problem 5749*, Amer. Math. Monthly 77 (1970), 775.

[005] [6] H. L. Montgomery and R. C. Vaughan, The large sieve, Mathematika 20 (1973), 119-134. | Zbl 0296.10023

[006] [7] H. Riesel, Prime Numbers and Computer Methods for Factorization, Progr. Math. 57, Birkhäuser, 1985.

[007] [8] J. B. Rosser and L. Schoenfeld, Sharper bounds for the Chebyshev functions θ(x) and ψ(x), Math. Comp. 29 (1975), 243-269. | Zbl 0295.10036

[008] [9] M. Szegedy, The solution of Graham's greatest common divisor problem, Combinatorica 6 (1986), 67-71. | Zbl 0593.10002

[009] [10] W. Y. Vélez, Some remarks on a number theoretic problem of Graham, Acta Arith. 32 (1977), 233-238. | Zbl 0313.10002

[010] [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.

[011] [12] A. Zaharescu, On a conjecture of Graham, J. Number Theory 27 (1987), 33-40. | Zbl 0629.10003