# jugendtraumの例文

- In the case of elliptic curves, the Kronecker
*Jugendtraum* was the programme roots of unity allow one to do this for the field of rational numbers. - The classical theory of complex multiplication, now often known as the " Kronecker
*Jugendtraum* ", does this for the case of any imaginary quadratic field, by using modular functions and elliptic functions chosen with a particular period lattice related to the field in question. - "' Kronecker's
*Jugendtraum* "'or "'Hilbert's twelfth problem "', of the 23 mathematical Hilbert problems, is the extension of the Kronecker Weber theorem on abelian extensions of the rational numbers, to any base number field. - Conversely, Kronecker conjectured that every abelian extension of K "'would be obtained "'by the ( roots of the ) equation of a suitable elliptic curve with complex multiplication, known as the " Kronecker
*Jugendtraum* " and " Hilbert's twelfth problem ".