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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The equation of Ramanujan-Nagell and $ [y\sp{2}]$


Author: D. G. Mead
Journal: Proc. Amer. Math. Soc. 41 (1973), 333-341
MSC: Primary 12H05
MathSciNet review: 0327725
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Abstract: By arithmetizing Levi's constructive test for membership in [$ [{y^2}]$] we have translated the questions of whether a given power product is in [$ [{y^2}]$] to determining whether a certain product of matrices is the zero matrix. This leads to number-theoretic problems, including the diophantine equations of the title $ {2^n} - 7 = {x^2}$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1973-0327725-4
PII: S 0002-9939(1973)0327725-4
Article copyright: © Copyright 1973 American Mathematical Society