Some Non-Jacobian Ternary Continued Fractions |
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५० Algor Amer Assuming the theorem B. H. Bissinger binary simple continued breakdown C. G. J. Jacobi complete quotient Continued Frac continued fraction expansion continued fraction represents contradiction cubic equation cubic surd Daus defined inductively Definition E. M. Wright expansion terminates fact function g(n G. H. Hardy Hausdorff Dimension hence hypothesis inequality initial terms integer J. S. Frame Jacobi Jacobi's Algorithm Jacobian JOSEPH ANTON RAAB Jour Lehmer Lemma 33 Math monotone increasing Moreover non-Jacobian ternary continued non-zero integral notation Periodic Ternary Continued Perron Proof purely periodic quotient set rational number real numbers recursions represents a cubic sequence of convergents sequence of partial similar simple continued fraction singular expansion Sk+1 terms are monotone ternary continued fraction ternary expansion Theorem 17 Theory thesis tion vergence Vn+1 Y₁ zero and non-zero zero partial quotients ах لا ولا