The equation of Ramanujan-Nagell and $[y^{2}]$
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- by D. G. Mead
- Proc. Amer. Math. Soc. 41 (1973), 333-341
- DOI: https://doi.org/10.1090/S0002-9939-1973-0327725-4
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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 ${2^n} - 7 = {x^2}$.References
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Bibliographic Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 41 (1973), 333-341
- MSC: Primary 12H05
- DOI: https://doi.org/10.1090/S0002-9939-1973-0327725-4
- MathSciNet review: 0327725