Saradha, N. ; Shorey, T. N. (2003) Almost squares in arithmetic progression Compositio Mathematica, 138 (1). pp. 73-111. ISSN 0010-437X
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Official URL: http://www.springerlink.com/content/k78378p13t6762...
Related URL: http://dx.doi.org/10.1023/A:1025408727362
Abstract
It is proved that a product of four or more terms of positive integers in arithmetic progression with common difference a prime power is never a square. More general results are given which completely solve (1.1) with gcd(n, d)=1, k≥3 and 1<d≤104.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer. |
| Keywords: | Arithmetic Progressions; Congruences; Diophantine Equations; Elliptic Equations; Legendre Symbol; Squarefree Integers |
| ID Code: | 67722 |
| Deposited On: | 31 Oct 2011 13:27 |
| Last Modified: | 31 Oct 2011 13:27 |
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