Jingcheng Tong
Abstract
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Let ξ be an irrational number with simple continued fraction expansion ξ= [a0;a1,a2,…], Pn/qn be its nth convergent, . The following two theorems were proved by Müller [9] and rediscovered by Bagemihl and McLaughlin [1]: Theorem 1.For n>1,
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Let ξ be an irrational number with simple continued fraction expansion ξ= [a0;a1,a2,…], Pn/qn be its nth convergent, . The following two theorems were proved by Müller [9] and rediscovered by Bagemihl and McLaughlin [1]: Theorem 1.For n>1,
Key concepts: Irrational number, Simple (philosophy), Mathematics, Continued fraction, Fraction (chemistry), Combinatorics, Discrete mathematics, Pure mathematics