Squares in products from a block of consecutive integers
R. Balasubramanian ; T. N. Shorey
Acta Arithmetica, Tome 64 (1993), p. 213-220 / Harvested from The Polish Digital Mathematics Library
Publié le : 1993-01-01
EUDML-ID : urn:eudml:doc:206574
@article{bwmeta1.element.bwnjournal-article-aav65i3p213bwm,
     author = {R. Balasubramanian and T. N. Shorey},
     title = {Squares in products from a block of consecutive integers},
     journal = {Acta Arithmetica},
     volume = {64},
     year = {1993},
     pages = {213-220},
     zbl = {0802.11012},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav65i3p213bwm}
}
R. Balasubramanian; T. N. Shorey. Squares in products from a block of consecutive integers. Acta Arithmetica, Tome 64 (1993) pp. 213-220. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav65i3p213bwm/

[000] [1] A. Baker, Bounds for the solutions of the hyperelliptic equation, Proc. Cambridge Philos. Soc. 65 (1969), 439-444. | Zbl 0174.33803

[001] [2] P. Erdős, Note on the product of consecutive integers (I), J. London Math. Soc. 14 (1939), 194-198.

[002] [3] P. Erdős, On the product of consecutive integers III, Indag. Math. 17 (1955), 85-90. | Zbl 0068.03704

[003] [4] P. Erdős and J. Turk, Products of integers in short intervals, Acta Arith. 44 (1984), 147-174. | Zbl 0497.10033

[004] [5] M. N. Huxley, On the difference between consecutive primes, Invent. Math. 15 (1972), 164-170. | Zbl 0241.10026

[005] [6] T. Nagell, Introduction to Number Theory, Wiley, 1951.

[006] [7] K. Ramachandra, Some problems of analytic number theory, Acta Arith. 31 (1976), 313-324. | Zbl 0291.10034

[007] [8] O. Rigge, Über ein diophantisches Problem, in: 9th Congress Math. Scand. Helsingfors, 1938, Mercator, Helsingfors, 1939, 155-160.

[008] [9] T. N. Shorey, Perfect powers in values of certain polynomials at integer points, Math. Proc. Cambridge Philos. Soc. 99 (1986), 195-207. | Zbl 0598.10029

[009] [10] T. N. Shorey, Perfect powers in products of integers from a block of consecutive integers, Acta Arith. 49 (1987), 71-79. | Zbl 0582.10012

[010] [11] T. N. Shorey and R. Tijdeman, Perfect powers in products of terms in an arithmetical progression, Compositio Math. 75 (1990), 307-344. | Zbl 0708.11021

[011] [12] V. G. Sprindžuk, Hyperelliptic diophantine equation and class numbers of ideals, Acta Arith. 30 (1976), 95-108 (in Russian). | Zbl 0335.10021