"Mahler measure"의 두 판 사이의 차이
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==introduction== | ==introduction== | ||
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| + | ==computational resource== | ||
| + | * https://docs.google.com/file/d/0B8XXo8Tve1cxb0REMDN0WW05N1k/edit | ||
| + | * http://mathworld.wolfram.com/LehmersMahlerMeasureProblem.html | ||
| + | * http://mathworld.wolfram.com/MahlerMeasure.html | ||
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* http://en.wikipedia.org/wiki/Mahler_measure | * http://en.wikipedia.org/wiki/Mahler_measure | ||
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==expositions== | ==expositions== | ||
| + | * Finch, [http://www.people.fas.harvard.edu/~sfinch/csolve/frs.pdf Modular Forms on $SL_2(\mathbb{Z})$] | ||
* [http://www.birs.ca/workshops/2003/03w5035/ The many aspects of Mahler's measure], Banff workshop, 2003 | * [http://www.birs.ca/workshops/2003/03w5035/ The many aspects of Mahler's measure], Banff workshop, 2003 | ||
* Matilde N. Laln [http://www.math.ualberta.ca/%7Emlalin/ubc.pdf Mahler measures as values of regulators] 2006 | * Matilde N. Laln [http://www.math.ualberta.ca/%7Emlalin/ubc.pdf Mahler measures as values of regulators] 2006 | ||
* [http://www.math.ca/notes/v34/n2/Notesv34n2.pdf Mahler's measure, hyperbolic geometry and the dilogarithm] | * [http://www.math.ca/notes/v34/n2/Notesv34n2.pdf Mahler's measure, hyperbolic geometry and the dilogarithm] | ||
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* [http://arxiv.org/abs/math.NT/0308041 Mahler's Measure and the Dilogarithm (II)] | * [http://arxiv.org/abs/math.NT/0308041 Mahler's Measure and the Dilogarithm (II)] | ||
** Authors: David W. Boyd, Fernando Rodriguez-Villegas, Nathan M. Dunfield | ** Authors: David W. Boyd, Fernando Rodriguez-Villegas, Nathan M. Dunfield | ||
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* 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 | * 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 | ||
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| − | * http://enyokoyama.blogspot.com/2012/05/mahlers-measure-hyperbolic-geometry-and.html | + | ==links== |
| + | * http://enyokoyama.blogspot.com/2012/05/mahlers-measure-hyperbolic-geometry-and.html | ||
| + | * [http://maths.dur.ac.uk/%7Edma0hg/myres.html Herbert Gangl] | ||
2013년 8월 27일 (화) 05:44 판
introduction
computational resource
- https://docs.google.com/file/d/0B8XXo8Tve1cxb0REMDN0WW05N1k/edit
- http://mathworld.wolfram.com/LehmersMahlerMeasureProblem.html
- http://mathworld.wolfram.com/MahlerMeasure.html
encyclopedia
expositions
- Finch, Modular Forms on $SL_2(\mathbb{Z})$
- The many aspects of Mahler's measure, Banff workshop, 2003
- Matilde N. Laln Mahler measures as values of regulators 2006
- Mahler's measure, hyperbolic geometry and the dilogarithm
articles
- Zudilin, Wadim. 2013. “Regulator of Modular Units and Mahler Measures”. ArXiv e-print 1304.3869. http://arxiv.org/abs/1304.3869.
- 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
- 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