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* [http://people.math.jussieu.fr/%7Emiw/articles/pdf/TranscendencePeriods.pdf Transcendence of periods: the state of the art.] M. Waldschmidt., Pure Appl. Math. Q. 2 (2006), 435-463.<br> | * [http://people.math.jussieu.fr/%7Emiw/articles/pdf/TranscendencePeriods.pdf Transcendence of periods: the state of the art.] M. Waldschmidt., Pure Appl. Math. Q. 2 (2006), 435-463.<br> | ||
* [http://dx.doi.org/10.1007/BF01390068 Algebraic independence of the values of elliptic function at algebraic points] G. Chudnovsky, Inventiones Mathematicae, Volume 61, Number 3 / 1980년 10월<br> | * [http://dx.doi.org/10.1007/BF01390068 Algebraic independence of the values of elliptic function at algebraic points] G. Chudnovsky, Inventiones Mathematicae, Volume 61, Number 3 / 1980년 10월<br> | ||
| − | * | + | * [http://www.ihes.fr/~maxim/TEXTS/Periods.pdf Periods] Zagier-Kontsevich,Mathematics unlimited—2001 and beyond, Berlin, New York: Springer-Verlag, pp. 771–808<br> |
* Algebraic Groups, Hodge Theory, and Transcendence, G. Wüstholz, , pp. 476–483 in Proc. of the ICM Berkeley 1986 (ed.: A.M. Gleason), AMS, 1987.<br> | * Algebraic Groups, Hodge Theory, and Transcendence, G. Wüstholz, , pp. 476–483 in Proc. of the ICM Berkeley 1986 (ed.: A.M. Gleason), AMS, 1987.<br> | ||
* [http://www.ams.org/online_bks/pspum332/pspum332-ptIV-8.pdf Algebraicity of some products of values of the gamma function]<br> | * [http://www.ams.org/online_bks/pspum332/pspum332-ptIV-8.pdf Algebraicity of some products of values of the gamma function]<br> | ||
2013년 4월 7일 (일) 04:42 판
개요
역사
메모
- 쉽게 말하면(?), 대수적으로 표현할 수 있는 영역 위에서 대수적함수의 적분으로 표현할 수 있는 수를 period라 합니다
관련된 항목들
수학용어번역
사전 형태의 자료
- http://ko.wikipedia.org/wiki/
- http://en.wikipedia.org/wiki/Ring_of_periods
- http://en.wikipedia.org/wiki/Differential_of_the_first_kind
- http://en.wikipedia.org/wiki/
- http://www.wolframalpha.com/input/?i=
- NIST Digital Library of Mathematical Functions
- The On-Line Encyclopedia of Integer Sequences
관련논문
- Algebraic values of Schwarz Triangle Functions Hironori Shiga and Jürgen Wolfart, 2007
- Transcendence of periods: the state of the art. M. Waldschmidt., Pure Appl. Math. Q. 2 (2006), 435-463.
- Algebraic independence of the values of elliptic function at algebraic points G. Chudnovsky, Inventiones Mathematicae, Volume 61, Number 3 / 1980년 10월
- Periods Zagier-Kontsevich,Mathematics unlimited—2001 and beyond, Berlin, New York: Springer-Verlag, pp. 771–808
- Algebraic Groups, Hodge Theory, and Transcendence, G. Wüstholz, , pp. 476–483 in Proc. of the ICM Berkeley 1986 (ed.: A.M. Gleason), AMS, 1987.
- Algebraicity of some products of values of the gamma function
- N. Koblitz, A. Ogus, Appendix to: P. Deligne, Valeurs de fonctions L et périodes d'intégrales, Proceedings of Symposia in Pure Mathematics, Vol. 33 Part 2, 1979, 313-346.
- N. Koblitz, A. Ogus, Appendix to: P. Deligne, Valeurs de fonctions L et périodes d'intégrales, Proceedings of Symposia in Pure Mathematics, Vol. 33 Part 2, 1979, 313-346.
- On the periods of abelian integrals and a formula of Chowla and Selberg
- Benedict H. Gross, Inventiones Mathematicae, Volume 45, Number 2 / 1978년 6월