# WHAT IS Lehmer's number?

- Published in 2009
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Lehmer's number \(\lambda \approx 1.17628\) is the largest real root of the polynomial \(f_\lambda(x) = x^{10} + x^9 - x^7 - x^6 -x^5 -x^4 - x^3 + x + 1\). This number appears in various contexts in number theory and topology as the (sometimes conjectural) answer to natural questions involving ``minimality'' and ``small complexity''.

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- key
- item35
- type
- article
- date_added
- 2013-12-03
- date_published
- 2009-07-24

### BibTeX entry

@article{item35, key = {item35}, type = {article}, title = {WHAT IS Lehmer's number?}, author = {Eriko Hironaka}, abstract = {Lehmer's number \(\lambda \approx 1.17628\) is the largest real root of the polynomial \(f{\_}\lambda(x) = x^{\{}10{\}} + x^9 - x^7 - x^6 -x^5 -x^4 - x^3 + x + 1\). This number appears in various contexts in number theory and topology as the (sometimes conjectural) answer to natural questions involving ``minimality'' and ``small complexity''.}, comment = {}, date_added = {2013-12-03}, date_published = {2009-07-24}, urls = {http://www.math.fsu.edu/{\~{}}aluffi/archive/paper355.pdf}, collections = {attention-grabbing-titles,integerology}, url = {http://www.math.fsu.edu/{\~{}}aluffi/archive/paper355.pdf}, urldate = {2013-12-03}, year = 2009 }