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Start Over Author "Walsh, P. G." Publisher american institute of physics
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1. Recent Progress on Certain Quartic Diophantine Equations.

Author

Walsh, P. G.

Subjects
*QUADRATIC forms, *DIOPHANTINE approximation, *APPROXIMATION theory, *FUNCTIONAL analysis, *DIOPHANTINE analysis, *DIOPHANTINE equations
Abstract

Wilhelm Ljunggren proved many results on quartic Diophantine equations of the form aX4-bY2 = c, with cāˆˆ{±1,-2,±4}. Noticeably absent from this set of values of c is c = 2. We describe some recent progress on this problem, and discuss some open problems which require further study. [ABSTRACT FROM AUTHOR]

Published
2008
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