Solved via Continued Fractions

نویسندگان

  • R. A. MOLLIN
  • K. CHENG
  • B. GODDARD
چکیده

The purpose of this article is to provide criteria for the solvability of the Diophantine equation a2X2− bY 2 = c in terms of the simple continued fraction expansion of √ a2b, and to explore criteria for the solvability of AX2 − BY 2 = C for given A, B, C ∈ N in the general case. This continues work in [9]–[11].

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تاریخ انتشار 2003