"Mahler measure"의 두 판 사이의 차이
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encyclopedia==
imported>Pythagoras0 잔글 (찾아 바꾸기 – “<h5>” 문자열을 “==” 문자열로) |
imported>Pythagoras0 잔글 (찾아 바꾸기 – “</h5>” 문자열을 “==” 문자열로) |
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| 1번째 줄: | 1번째 줄: | ||
| − | ==introduction | + | ==introduction== |
# lehmer[x_] := 1 + x - x^3 - x^4 - x^5 - x^6 - x^7 + x^9 + x^10<br> p[x_] := x^4 - x^2 + 1<br> Plot[Log[Abs[p[Exp[2 Pi*I*t]]]], {t, 0, 1}]<br> Exp[NIntegrate[Log[Abs[p[Exp[2 Pi*I*t]]]], {t, 0, 1}]] | # lehmer[x_] := 1 + x - x^3 - x^4 - x^5 - x^6 - x^7 + x^9 + x^10<br> p[x_] := x^4 - x^2 + 1<br> Plot[Log[Abs[p[Exp[2 Pi*I*t]]]], {t, 0, 1}]<br> Exp[NIntegrate[Log[Abs[p[Exp[2 Pi*I*t]]]], {t, 0, 1}]] | ||
| 5번째 줄: | 5번째 줄: | ||
| − | ==history | + | ==history== |
* http://www.google.com/search?hl=en&tbs=tl:1&q= | * http://www.google.com/search?hl=en&tbs=tl:1&q= | ||
| 13번째 줄: | 13번째 줄: | ||
| − | ==related items | + | ==related items== |
| 19번째 줄: | 19번째 줄: | ||
| − | <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103);">encyclopedia | + | <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103);">encyclopedia== |
* http://ko.wikipedia.org/wiki/ | * http://ko.wikipedia.org/wiki/ | ||
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| − | ==books | + | ==books== |
| 47번째 줄: | 47번째 줄: | ||
| − | ==expositions | + | ==expositions== |
* 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 | ||
| 56번째 줄: | 56번째 줄: | ||
| − | <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103);">articles | + | <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103);">articles== |
* A dynamical interpretation of the global canonical height on an elliptic curve<br> | * A dynamical interpretation of the global canonical height on an elliptic curve<br> | ||
| 79번째 줄: | 79번째 줄: | ||
| − | ==question and answers(Math Overflow) | + | ==question and answers(Math Overflow)== |
* http://mathoverflow.net/search?q= | * http://mathoverflow.net/search?q= | ||
| 88번째 줄: | 88번째 줄: | ||
| − | ==blogs | + | ==blogs== |
* http://enyokoyama.blogspot.com/2012/05/mahlers-measure-hyperbolic-geometry-and.html<br> 구글 블로그 검색<br> | * http://enyokoyama.blogspot.com/2012/05/mahlers-measure-hyperbolic-geometry-and.html<br> 구글 블로그 검색<br> | ||
| 98번째 줄: | 98번째 줄: | ||
| − | ==experts on the field | + | ==experts on the field== |
* [http://www.math.ubc.ca/%7Eboyd/boyd.html David W. Boyd]<br> | * [http://www.math.ubc.ca/%7Eboyd/boyd.html David W. Boyd]<br> | ||
| 107번째 줄: | 107번째 줄: | ||
| − | ==links | + | ==links== |
* [http://detexify.kirelabs.org/classify.html Detexify2 - LaTeX symbol classifier] | * [http://detexify.kirelabs.org/classify.html Detexify2 - LaTeX symbol classifier] | ||
2012년 10월 28일 (일) 14:34 판
introduction
- 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
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)
blogs
experts on the field
links
- 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)
blogs
experts on the field