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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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

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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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