JP Journal of Algebra, Number Theory and Applications
Volume 9, Issue 1, Pages 129 - 134
(October 2007)
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CLASS NUMBERS OF QUADRATIC FIELDS, MERSENNE NUMBERS, FERMAT NUMBERS, AND EXPONENTIAL DIOPHANTINE EQUATIONS
R. A. Mollin (Canada)
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Abstract: We examine criteria for the existence of cyclic subgroups of the class groups of quadratic fields via the solvability of certain exponential Diophantine equations. This extends results in the literature. |
Keywords and phrases: exponential Diophantine equations, class numbers, Mersenne numbers, Fermat numbers, quadratic fields. |
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