Let a, b, c be irrational numbers with a < b < c. If a and c have identical convergents $\frac{p_0}{q_0}$, $\frac{p_1}{q_1}$, . . . , up to $\frac{p_n}{q_n}$, how to prove that b also has these same convergents up to $\frac{p_1}{q_1}$.
2026-03-28 15:26:51.1774711611
the same convergents among 3 irrotations
38 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in NUMBER-THEORY
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