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On the Occurrence of Perfect Squares Among Values of Certain Polynomial Products
Date
2016-06-01
Author
Gurel, Erhan
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We prove that the product of first n consecutive values of the polynomial P(k) = 4k(4) + 1 is a perfect square infinitely often whereas the product of first n consecutive values of the polynomial Q(k) = k(4) + 4 is a perfect square only for n = 2.
URI
https://hdl.handle.net/11511/63350
Journal
AMERICAN MATHEMATICAL MONTHLY
DOI
https://doi.org/10.4169/amer.math.monthly.123.6.597
Collections
Natural Sciences and Mathematics, Article
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E. Gurel, “On the Occurrence of Perfect Squares Among Values of Certain Polynomial Products,”
AMERICAN MATHEMATICAL MONTHLY
, pp. 597–599, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63350.