"Talk on introduction to Mahler measure"의 두 판 사이의 차이

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imported>Pythagoras0
imported>Pythagoras0
6번째 줄: 6번째 줄:
 
* elliptic L-values
 
* elliptic L-values
 
* hyperbolic geometry
 
* hyperbolic geometry
 
 
 
 
==references==
 
* Bertin, Marie-José, and MATILDE LALÍN. [http://www.dms.umontreal.ca/~mlalin/surveyMahlerfinal-revised.pdf Mahler Measure of Multivariable Polynomials] Women in Numbers 2: Research Directions in Number Theory 606 (2013): 125.
 
* Smyth, Chris. 2008. “The Mahler Measure of Algebraic Numbers: a Survey.” In Number Theory and Polynomials, 352:322–349. London Math. Soc. Lecture Note Ser. Cambridge: Cambridge Univ. Press. http://www.maths.ed.ac.uk/~chris/Smyth240707.pdf
 
* Lalin [http://www.math.ualberta.ca/%7Emlalin/ubc.pdf Mahler measures as values of regulators] 2006
 
* Finch, [http://www.people.fas.harvard.edu/~sfinch/csolve/frs.pdf Modular Forms on $SL_2(\mathbb{Z})$] 2005
 
* [http://www.birs.ca/workshops/2003/03w5035/ The many aspects of Mahler's measure], Banff workshop, 2003
 
** [http://www.birs.ca/workshops/2003/03w5035/report03w5035.pdf final report]
 
* Lalin [http://www.dms.umontreal.ca/~mlalin/uba.pdf Introduction to Mahler measure], 2003
 
* Boyd, [http://www.math.ca/notes/v34/n2/Notesv34n2.pdf Mahler's measure, hyperbolic geometry and the dilogarithm] 2002
 
 
  
  
 
[[분류:talks and lecture notes]]
 
[[분류:talks and lecture notes]]

2015년 1월 17일 (토) 20:51 판

introduction

  • finding large primes
  • Lehmer's conjecture
  • Smyth's formula
  • Mahler's multivariate generalization
  • elliptic L-values
  • hyperbolic geometry