Multidimensional Vector Addition Theorems and the Riemann Theta Functions

International Mathematics Research Notices

Volumn , Issue 10, 1996, Pages

  Buchstaber, V ^a   Krichever, I ^b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038720281     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. J. Aczel, Lectures on Functional Equations and their Applications, Academic Press, New York, 1966.
2. J. Aczel and J. Dhombres, Functional Equations in Several Variables, Encyclopedia Math. Appl. 31, Cambridge Univ. Press, Cambridge, 1989.
3. H. F. Baker, Abel's Theorem and the Allied Theory Including the Theory of the Theta Functions, Cambridge Univ. Press, Cambridge, 1897.
4. H. W. Braden and V. M. Buchstaber, The general analytic solution of a functional equation of addition type, to appear in SIAM J. Math. Anal.
5. V. M. Buchstaber and I. M. Krichever, Vector addition theorems and Baker-Akhiezer functions, Teoret. Mat. Fiz. 94 (1993), 200-212.
6. I. M. Krichever, Algebraic-geometrical construction of the Zakharov-Shabat equations and their periodic solutions, Dokl. Akad. Nauk UzSSR 227 (1976), 291-294.
7. _, Integration of the non-linear equations by the algebraic-geometrical methods, Funktsional. Anal. i Prilozhen. 11 (1977), 15-31.
8. T. Shiota, Characterization of Jacobian varieties in terms of soliton equations, Invent. Math. 83 (1986), 333-382.