Alternating knots with Alexander polynomials having unexpected zeros

Mikami Hirasawa, Katsumi Ishikawa, Masaaki Suzuki

Research output: Contribution to journalArticle


We give concrete counterexamples to a conjecture due to J. Hoste. Namely, we present alternating knots whose Alexander polynomials have zeros with real parts less than −1. Our knots are pretzel knots having alternating Montesinos diagrams.

Original languageEnglish
Pages (from-to)48-56
Number of pages9
JournalTopology and its Applications
Publication statusPublished - 15 Feb 2019


  • Alternating knots
  • Hoste's conjecture
  • Zeros of Alexander polynomials

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