article02_5. 233KB Jun 04 2011 12:06:50 AM
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The investigation of the question wether an algebraic number field is monogenic is a classical problem in algebraic number theory (cf. Kov´ acs [19] the existence of a power
The speed of the Agrawal-Kayal-Saxena method depends on proven lower bounds for the size of the multiplicative semigroup generated by several polynomials modulo another polynomial
The following proposition is a consequence of [V], p.140, Theorem 2’ (the quoted theorem of Varopoulos is stronger than this statement):..
To carry out this program, one requires analogues of fundamental results of Mazur, Ribet and Wiles concerning elliptic curves and their associated Galois representations, for the
Lower bounds for the height can be used to obtain informations on the size of the ideal class group of a field K, following a general construction which we summarize as follows :..
In [4] and [5] the authors defined and studied the notion of the set of singular torsion points E sing on an elliptic curve E over a field of charac- teristic different from 2, which
conjecture of Gross for the Stickelberger element of the maximal abelian extension over the rational function field unramified out- side a set of four degree-one places.. In order
This tree has 14 vertices, but after the computation there is exactly one un- deleted vertex having value zero... Tree