On x³ + y³ + z³ = 3μxyz and Jacobi polynomials

• Autorzy: Kaori Ota
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1994
• Tom: 68
• Numer: 1
• Strony: 27-39

Daty

wydano

1994

otrzymano

1993-11-24

Twórcy

autor

Kaori Ota

• Department of Mathematics, Tsuda College, Kodaira Tokyo, 187 Japan

Bibliografia

• [1] H. Bateman, Higher Transcendental Functions, Vol. 2, McGraw-Hill, 1953.
• [2] R. Courant and D. Hilbert, Methods of Mathematical Physics, Vol. 1, Interscience, 1953.
• [3] R. Hartshorne, Algebraic Geometry, Graduate Texts in Math. 52, Springer, 1977.
• [4] T. Honda, On the theory of commutative formal groups, J. Math. Soc. Japan 22 (1970), 213-246.
• [5] T. Honda, Two congruence properties of Legendre polynomials, Osaka J. Math. 13 (1976), 131-133.
• [6] J. P. Serre, Sur la topologie des variétés algébriques en caractéristique p, in: Œuvres, Vol. 1, 38, 501-530.
• [7] J. H. Silverman, The Arithmetic of Elliptic Curves, Graduate Texts in Math. 106, Springer, 1986.
• [8] N. Yui, Jacobi quartics, Legendre polynomials and formal groups, in: Elliptic Curves and Modular Forms in Algebraic Topology, Lecture Notes in Math. 1326, Springer, 1988, 182-215.