# 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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top## How to cite

topR. 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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- [2] P. Erdős, Note on the product of consecutive integers (I), J. London Math. Soc. 14 (1939), 194-198.
- [3] P. Erdős, On the product of consecutive integers III, Indag. Math. 17 (1955), 85-90. Zbl0068.03704
- [4] P. Erdős and J. Turk, Products of integers in short intervals, Acta Arith. 44 (1984), 147-174. Zbl0497.10033
- [5] M. N. Huxley, On the difference between consecutive primes, Invent. Math. 15 (1972), 164-170. Zbl0241.10026
- [6] T. Nagell, Introduction to Number Theory, Wiley, 1951.
- [7] K. Ramachandra, Some problems of analytic number theory, Acta Arith. 31 (1976), 313-324. Zbl0291.10034
- [8] O. Rigge, Über ein diophantisches Problem, in: 9th Congress Math. Scand. Helsingfors, 1938, Mercator, Helsingfors, 1939, 155-160.
- [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] T. N. Shorey, Perfect powers in products of integers from a block of consecutive integers, Acta Arith. 49 (1987), 71-79. Zbl0582.10012
- [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] 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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