Markov’s Theorem and the Uniqueness Conjecture

Martin Aigner
Additional contact information
Martin Aigner: Freie Universität Berlin, Fachbereich Mathematik und Informatik Institut für Mathematik

Chapter 2 in Markov's Theorem and 100 Years of the Uniqueness Conjecture, 2013, pp 31-41 from Springer

Abstract: Abstract After approximation, we look at another time-honored topic in number theory: Diophantine equations. These are equations of the form $$f(x_1......,x_d)=0.$$ where f is a polynomial with integer coefficients, and we are interested in the set of integral solutions $$(a_1......,a_d)\varepsilon \mathbb{Z}^d$$ .

Keywords: Quadratic Form; Diophantine Equation; Markov Chain Monte Carlo Method; Fibonacci Number; Continue Fraction Expansion (search for similar items in EconPapers)
Date: 2013
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-00888-2_2

Ordering information: This item can be ordered from
http://www.springer.com/9783319008882

DOI: 10.1007/978-3-319-00888-2_2

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().