Ⅰ. INTRODUCTION AND RESULTS If （an） and （bn）, n=1, 2,…, are two sequences of positive rational integers, then, under Perron’s notation, the real irrational numbers A, B are defined by the simple continued fract...Ⅰ. INTRODUCTION AND RESULTS If （an） and （bn）, n=1, 2,…, are two sequences of positive rational integers, then, under Perron’s notation, the real irrational numbers A, B are defined by the simple continued fractions [a1, a2, a3,…] and [b1, b2, b3,…], respectively. In this note we wish to establish the following results under a slighter condition than that mentioned in Refs. [2] and [3].展开更多
基金Project supported by the National Natural Science Foundation of China
文摘Ⅰ. INTRODUCTION AND RESULTS If （an） and （bn）, n=1, 2,…, are two sequences of positive rational integers, then, under Perron’s notation, the real irrational numbers A, B are defined by the simple continued fractions [a1, a2, a3,…] and [b1, b2, b3,…], respectively. In this note we wish to establish the following results under a slighter condition than that mentioned in Refs. [2] and [3].
