Talk on introduction to Mahler measure

introduction

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

references

• Bertin, Marie-José, and MATILDE LALÍN. 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 Mahler measures as values of regulators 2006
• Finch, Modular Forms on $SL_2(\mathbb{Z})$ 2005
• The many aspects of Mahler's measure, Banff workshop, 2003
  • final report
• Lalin Introduction to Mahler measure, 2003
• Boyd, Mahler's measure, hyperbolic geometry and the dilogarithm 2002