초타원 시그마 함수(hyperelliptic sigma functions)

메모

• The higher-genus sigma function and applications

 

 

관련된 항목들

• 바이어슈트라스 시그마 함수
• 소모스 수열(Somos sequence)

 

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

• Bernatska, Julia, and Dmitry Leykin. “On Degenerate Sigma-Functions of Genus Two.” arXiv:1509.01490 [math-Ph], September 4, 2015. http://arxiv.org/abs/1509.01490.
• 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/

 

 

 

 

링크

• Summaries of Media Coverage of Math