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On the quasi-periodic Schneider continued fractions

  • B. Ammous,
  • N. Ben Mahmoud

摘要

In the current research paper, we examine a family of quasi-periodic p-adic Schneider continued fractions in \(\mathbb {Q}_p\) Q p . We corroborate that a p-adic number, such that its Schneider continued fraction contains arbitrarily long blocks of partial quotients repeated several times, is either quadratic or transcendental.