JP Journal of Algebra, Number Theory and Applications
Volume 4, Issue 3, Pages 537 - 548
(December 2004)
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CLASS
NUMBERS, QUADRATICS, AND EXPONENTIAL DIOPHANTINE
EQUATIONS
R. A. Mollin (Canada)
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Abstract: We look at the
relationships between class numbers of quadratic
structures (orders and fields) and the solutions
of exponential Diophantine equations. We
conclude with necessary and sufficient
conditions for a class group to have an element
of a given order. |
Keywords and phrases: class number, quadratic
order, Diophantine equations. |
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