Skip to main content

Abstract

To end our story about Markov numbers, we turn to the second theme, the uniqueness conjecture. We have seen several different versions ranging from numbers and matrices to hyperbolic geometry and matchings of graphs. The uniqueness results in Chapters 3 and 4 were based directly on the Markov equation and some simple congruences derived from it. Now we want to take a closer look at some of the systematic approaches attempted so far. They are arranged in three groups of increasing complexity:

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 119.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 159.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Aigner, M. (2013). The Uniqueness Conjecture. In: Markov's Theorem and 100 Years of the Uniqueness Conjecture. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00888-2_10

Download citation

Publish with us

Policies and ethics