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- W1998239757 abstract "Abstract In this paper, we develop techniques for solving ternary Diophantine equations of the shape Ax n + By n = Cz 2 , based upon the theory of Galois representations and modular forms. We subsequently utilize these methods to completely solve such equations for various choices of the parameters A , B and C . We conclude with an application of our results to certain classical polynomial-exponential equations, such as those of Ramanujan–Nagell type." @default.
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- W1998239757 date "2004-02-01" @default.
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- W1998239757 title "Ternary Diophantine Equations via Galois Representations and Modular Forms" @default.
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- W1998239757 doi "https://doi.org/10.4153/cjm-2004-002-2" @default.
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