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199
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ANTS
2006
Springer
15 years 10 months ago
2006
Springer
The discrete logarithm problem (DLP) generalizes to the constrained DLP, where the secret exponent x belongs to a set known to the attacker. The complexity of generic algorithms f...
165
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ANTS
2006
Springer
15 years 10 months ago
2006
Springer
We show that the locally free class group of an order in a semisimple algebra over a number field is isomorphic to a certain ray class group. This description is then used to prese...
174
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ANTS
2006
Springer
15 years 10 months ago
2006
Springer
We describe methods for explicit computation of Galois groups of certain tamely ramified p-extensions. In the finite case this yields a short list of candidates for the Galois grou...
143
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ANTS
2006
Springer
15 years 10 months ago
2006
Springer
Let E be an elliptic curve over the rationals. A crucial step in determining a Mordell-Weil basis for E is to exhibit some positive lower bound > 0 for the canonical height ^h ...
142
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ANTS
2006
Springer
15 years 8 months ago
2006
Springer
Abstract. The conjectures of Deligne, Beilinson, and Bloch-Kato assert that there should be relations between the arithmetic of algebrogeometric objects and the special values of t...