A note on the products ((m+1)(2)+1)((m+2)(2)+1) ... (n(2)+1) and ((m+1)(3)+1)((m+2)(3)+1) ... (n(3)+1)

Date

2016-05-01

Author

Gurel, Erhan

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We prove that for any positive integer m there exists a positive real number N-m such that whenever the integer n >= m neither the product P-m(n) = ((m + 1)(2) + 1) ((m + 2)(2) + 1) ... (n(2) + 1) nor the product Q(m)(n) = ((m + 1)(3) + 1)((m + 2)(3) + 1) ... (n(3) + 1) is a square.

Subject Keywords

Polynomial products, Diophantine equations

URI

https://hdl.handle.net/11511/64053

Journal

MATHEMATICAL COMMUNICATIONS

Collections

Natural Sciences and Mathematics, Article

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Citation Formats

E. Gurel, “A note on the products ((m+1)(2)+1)((m+2)(2)+1) ... (n(2)+1) and ((m+1)(3)+1)((m+2)(3)+1) ... (n(3)+1),” MATHEMATICAL COMMUNICATIONS, pp. 109–114, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64053.