Squares in products from a block of consecutive integers

R. Balasubramanian; T. N. Shorey

Acta Arithmetica (1993)

  • Volume: 65, Issue: 3, page 213-220
  • ISSN: 0065-1036

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R. Balasubramanian, and T. N. Shorey. "Squares in products from a block of consecutive integers." Acta Arithmetica 65.3 (1993): 213-220. <http://eudml.org/doc/206574>.

@article{R1993,
author = {R. Balasubramanian, T. N. Shorey},
journal = {Acta Arithmetica},
keywords = {squares; products of integers},
language = {eng},
number = {3},
pages = {213-220},
title = {Squares in products from a block of consecutive integers},
url = {http://eudml.org/doc/206574},
volume = {65},
year = {1993},
}

TY - JOUR
AU - R. Balasubramanian
AU - T. N. Shorey
TI - Squares in products from a block of consecutive integers
JO - Acta Arithmetica
PY - 1993
VL - 65
IS - 3
SP - 213
EP - 220
LA - eng
KW - squares; products of integers
UR - http://eudml.org/doc/206574
ER -

References

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  1. [1] A. Baker, Bounds for the solutions of the hyperelliptic equation, Proc. Cambridge Philos. Soc. 65 (1969), 439-444. Zbl0174.33803
  2. [2] P. Erdős, Note on the product of consecutive integers (I), J. London Math. Soc. 14 (1939), 194-198. 
  3. [3] P. Erdős, On the product of consecutive integers III, Indag. Math. 17 (1955), 85-90. Zbl0068.03704
  4. [4] P. Erdős and J. Turk, Products of integers in short intervals, Acta Arith. 44 (1984), 147-174. Zbl0497.10033
  5. [5] M. N. Huxley, On the difference between consecutive primes, Invent. Math. 15 (1972), 164-170. Zbl0241.10026
  6. [6] T. Nagell, Introduction to Number Theory, Wiley, 1951. 
  7. [7] K. Ramachandra, Some problems of analytic number theory, Acta Arith. 31 (1976), 313-324. Zbl0291.10034
  8. [8] O. Rigge, Über ein diophantisches Problem, in: 9th Congress Math. Scand. Helsingfors, 1938, Mercator, Helsingfors, 1939, 155-160. 
  9. [9] T. N. Shorey, Perfect powers in values of certain polynomials at integer points, Math. Proc. Cambridge Philos. Soc. 99 (1986), 195-207. Zbl0598.10029
  10. [10] T. N. Shorey, Perfect powers in products of integers from a block of consecutive integers, Acta Arith. 49 (1987), 71-79. Zbl0582.10012
  11. [11] T. N. Shorey and R. Tijdeman, Perfect powers in products of terms in an arithmetical progression, Compositio Math. 75 (1990), 307-344. Zbl0708.11021
  12. [12] V. G. Sprindžuk, Hyperelliptic diophantine equation and class numbers of ideals, Acta Arith. 30 (1976), 95-108 (in Russian). Zbl0335.10021

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