Mahler measure

introduction

1. lehmer[x_] := 1 + x - x^3 - x^4 - x^5 - x^6 - x^7 + x^9 + x^10
   p[x_] := x^4 - x^2 + 1
   Plot[Log[Abs[p[Exp[2 Pi*I*t]]]], {t, 0, 1}]
   Exp[NIntegrate[Log[Abs[p[Exp[2 Pi*I*t]]]], {t, 0, 1}]]

 

history

• http://www.google.com/search?hl=en&tbs=tl:1&q=

 

 

 

 

encyclopedia

• http://ko.wikipedia.org/wiki/
• http://en.wikipedia.org/wiki/Mahler_measure
• http://mathworld.wolfram.com/LehmersMahlerMeasureProblem.html
• http://mathworld.wolfram.com/MahlerMeasure.html
• http://en.wikipedia.org/wiki/
• Princeton companion to mathematics(Companion_to_Mathematics.pdf)

 

 

books

 

• 2010년 books and articles
  
• http://gigapedia.info/1/
• http://gigapedia.info/1/
• http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=

 

 

 

expositions

• Matilde N. Laln Mahler measures as values of regulators 2006
• Mahler's measure, hyperbolic geometry and the dilogarithm

 

 

articles

• A dynamical interpretation of the global canonical height on an elliptic curve
  
• Mahler's Measure and the Dilogarithm (I)
  

• Mahler's Measure and the Dilogarithm (II)
  
  • Authors: David W. Boyd, Fernando Rodriguez-Villegas, Nathan M. Dunfield
• http://maths.dur.ac.uk/~dma0hg/myres.html
• C. J. Smyth, An explicit formula for the Mahler measure of a family of 3-variable polynomials, J. Th. Nombres Bordeaux 14 (2002), 683{700

• 논문정 리
• http://www.ams.org/mathscinet
• http://www.zentralblatt-math.org/zmath/en/
• http://pythagoras0.springnote.com/
• http://math.berkeley.edu/~reb/papers/index.html
• http://front.math.ucdavis.edu/search?a=&t=&c=&n=40&s=Listings&q=
• http://www.ams.org/mathscinet/search/publications.html?pg4=AUCN&s4=&co4=AND&pg5=TI&s5=&co5=AND&pg6=PC&s6=&co6=AND&pg7=ALLF&co7=AND&Submit=Search&dr=all&yrop=eq&arg3=&yearRangeFirst=&yearRangeSecond=&pg8=ET&s8=All&s7=
• http://dx.doi.org/

 

 

question and answers(Math Overflow)

• http://mathoverflow.net/search?q=
• http://mathoverflow.net/search?q=

 

 

blogs

• http://enyokoyama.blogspot.com/2012/05/mahlers-measure-hyperbolic-geometry-and.html
  구글 블로그 검색
  
  • http://blogsearch.google.com/blogsearch?q=
  • http://blogsearch.google.com/blogsearch?q=

 

 

experts on the field

• David W. Boyd
  
• http://arxiv.org/

 

 

links

• Detexify2 - LaTeX symbol classifier
• 수식표 현 안내
• The On-Line Encyclopedia of Integer Sequences
• http://functions.wolfram.com/