초타원 시그마 함수(hyperelliptic sigma functions)

이 항목의 수학노트 원문주소

 

 

개요

 

 

재미있는 사실

 

• Math Overflow http://mathoverflow.net/search?q=
• 네이버 지식인 http://kin.search.naver.com/search.naver?where=kin_qna&query=

 

 

역사

 

• http://www.google.com/search?hl=en&tbs=tl:1&q=
• 수학사연표

 

 

메모

• The higher-genus sigma function and applications

 

 

관련된 항목들

• 바이어슈트라스 시그마 함수
• 소모스 수열(Somos sequence)

 

 

수학용어번역

• 단어사전 http://www.google.com/dictionary?langpair=en|ko&q=
• 발음사전 http://www.forvo.com/search/

• 대한수학회 수학 학술 용어집

  • http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=eng_term&fstr=hyperelliptic
• 남·북한수학용어비교
• 대한수학회 수학용어한글화 게시판

 

 

 

사전 형태의 자료

• http://ko.wikipedia.org/wiki/
• http://en.wikipedia.org/wiki/
• The Online Encyclopaedia of Mathematics
• NIST Digital Library of Mathematical Functions
• The World of Mathematical Equations

 

 

 

리뷰논문과 에세이

• The Weierstrass Theory For Elliptic Functions Including The Generalisation To Higher Genus
• Hyperelliptic Kleinian functions and applications http://arxiv.org/abs/solv-int/9603005

 

관련논문

• Kodama, Yuji, Shigeki Matsutani, and Emma Previato. 2010. “Quasi-periodic and periodic solutions of the Toda lattice via the hyperelliptic sigma function.” 1008.0509 (August 3). http://arxiv.org/abs/1008.0509 .

• Eilbeck, J C, V Z Enolski, and J Gibbons. 2010. Sigma, tau and Abelian functions of algebraic curves. Journal of Physics A: Mathematical and Theoretical 43, no. 45 (11): 455216. doi:10.1088/1751-8113/43/45/455216.
• Braden, Harry W, Victor Z Enolskii, and Andrew N. W Hone. 2005. “Bilinear recurrences and addition formulae for hyperelliptic sigma functions.” math/0501162 (January 11). http://arxiv.org/abs/math/0501162 .

• Matsutani, Shigeki. 2002. “Elliptic and hyperelliptic solutions of discrete Painlevé I and its extensions to higher order difference equations”. Physics Letters A 300 (2-3) (7월 29): 233-242. doi:16/S0375-9601(02)00784-3.

• Ônishi, Yoshihiro. 2001. “Determinant Expressions for Hyperelliptic Functions (with an Appendix by Shigeki Matsutani)”. math/0105189 (5월 23). http://arxiv.org/abs/math/0105189 .

• Matsutani, Shigeki. 2000. Hyperelliptic Solutions of KdV and KP equations: Reevaluation of Baker's Study on Hyperelliptic Sigma Functions. nlin/0007001 (July 1). doi:doi:10.1088/0305-4470/34/22/312. http://arxiv.org/abs/nlin/0007001.
• http://www.jstor.org/action/doBasicSearch?Query=
• http://www.ams.org/mathscinet
• http://dx.doi.org/

 

 

관련도서

• 도서내검색

  • http://books.google.com/books?q=
  • http://book.daum.net/search/contentSearch.do?query=

 

 

링크

• Summaries of Media Coverage of Math

• 구글 블로그 검색

  • http://blogsearch.google.com/blogsearch?q=