Laishram, Shanta ; Shorey, T. N. ; Tengely, Szabolcs (2008) Squares in products in arithmetic progression with at most one term omitted and common difference a prime power Acta Arithmetica, 135 (2). pp. 143-158. ISSN 0065-1036
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Official URL: http://journals.impan.pl/cgi-bin/doi?aa135-2-4
Related URL: http://dx.doi.org/10.4064/aa135-2-4
Abstract
It is shown that a product of k−1 terms out of k ≥ 7 terms in arithmetic progression with common difference a prime power >1 is not a square. In fact it is not of the form by2 where the greatest prime factor of b is less than or equal to k. Also, we show that product of 11 or more terms in an arithmetic progression with common difference a prime power > 1 is not of the form by2 where the greatest prime factor of b is less than or equal to pπ(k)+2.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Institute of Mathematics of the Polish Academy of Sciences. |
| ID Code: | 67711 |
| Deposited On: | 31 Oct 2011 13:29 |
| Last Modified: | 31 Oct 2011 13:29 |
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