Saradha, N. ; Shorey, T. N. (1990) On the ratio of two blocks of consecutive integers Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 100 (2). pp. 107-132. ISSN 0253-4142
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Official URL: http://www.ias.ac.in/j_archive/mathsci/100/2/107-1...
Related URL: http://dx.doi.org/10.1007/BF02880956
Abstract
Under certain assumptions, it is shown that eq. (2) has only finitely many solutions in integers x≥0,y≥0,k≥2,l≥0. In particular, it is proved that (2) witha=b=1, l=k implies thatx=7,y=0,k=3.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Indian Academy of Sciences. |
| Keywords: | Exponential Diophantine Equations; Elementary Diophantine Approximations; Linear Forms in Logarithms; Arithmetic-geometric Mean |
| ID Code: | 67750 |
| Deposited On: | 31 Oct 2011 13:24 |
| Last Modified: | 18 May 2016 14:43 |
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