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Almost Squares in Arithmetic Progression |
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| Authors: | N. Saradha T. N. Shorey |
| Affiliation: | (1) School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai, 400005, India |
| 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. |
| Keywords: | arithmetic progressions congruences diophantine equations elliptic equations Legendre symbol squarefree integers |
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