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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
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Why is Hilbert’s 11th problem still partially resolved?
Hilbert’s 11th problem which demands that we ‘classify quadratic forms over algebraic number fields’ has been of interest to me and I would like to know what makes it partially resolved currently. Or …
-1
votes
Diophantine equation $2(x - 1/x) = y - 1/y$
When the Diophantine problem above is expressed as:
xy^2 + (2-2x^2)y - x = 0 (1)
and solved with respect to “y”, you would arrive at x=1 or x=-1 and consequently giving y=1 or y=-1 respectively when s …