Elliptic unit
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In mathematics, elliptic units are certain units of abelian extensions of imaginary quadratic fields constructed using singular values of modular functions. They were introduced by Gilles Robert in 1973, and were used by John Coates and Andrew Wiles in their work on the Birch-Swinnerton-Dyer conjecture. Elliptic units are an analogue for imaginary quadratic fields of cyclotomic units.
[edit] References
- Kubert, Daniel S.; Lang, Serge Modular units. Grundlehren der Mathematischen Wissenschaften, 244. Springer-Verlag, New York-Berlin, 1981. ISBN 0-387-90517-0
- Robert, Gilles Unités elliptiques. (Elliptic units) Bull. Soc. Math. France, Mém. No. 36. Bull. Soc. Math. France, Tome 101. Société Mathématique de France, Paris, 1973. 77 pp.
- Coates, J.; Wiles, A. On the conjecture of Birch and Swinnerton-Dyer. Invent. Math. 39 (1977), no. 3, 223-251.
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