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 Feb5 awarded Popular Question Jan26 awarded Famous Question Jan21 awarded Yearling Jan17 accepted Formula for encountering C different marbles out of D total draws Jan17 asked Formula for encountering C different marbles out of D total draws Dec14 awarded Caucus Sep17 awarded Popular Question Jul2 awarded Curious Jun26 awarded Nice Question Jun25 awarded Popular Question Apr4 awarded Nice Question Feb27 awarded Notable Question Feb25 awarded Notable Question Jan21 awarded Yearling Jan16 awarded Notable Question Dec27 accepted Proof that $x^2 - 2y^2 = -1$ has a recurring solution for $x$ Dec26 comment Proof that $x^2 - 2y^2 = -1$ has a recurring solution for $x$ It seems like the crucial assertion here is that the recurrence relationship exists iff $[\alpha, \beta; \gamma, \delta]^T J [\alpha, \beta; \gamma, \delta] = J$. Why is this true? Dec26 comment System of quadratic Diophantine equations Do you have links to the results from Matijasevich and Skolem? Dec26 comment Proof that $x^2 - 2y^2 = -1$ has a recurring solution for $x$ I'm looking for a link to a proof that shows that the linear recurrence solution is possible. Dec26 revised Proof that $x^2 - 2y^2 = -1$ has a recurring solution for $x$ added 19 characters in body