Publication: An elementary approach to the generalized ramanujan-nagell equation
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Authors
Authors
Le, Maohua
Advisor
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Indian Nat Sci Acad
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Abstract
Let k be a fixed positive integer with k > 1. In this paper, using various elementary methods in number theory, we give criteria under which the equation x(2) + (2k - 1)(y) = k(z) has no positive integer solutions (x, y, z) with y is an element of {3, 5}.
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Keywords
Polynomial-exponential diophantine equation, Generalized ramanujan-nagell equation, Elementary method in number theory, Science & technology, Physical sciences, Mathematics