Titlebook: Algorithmic Number Theory; 6th International Sy Duncan Buell Conference proceedings 2004 Springer-Verlag Berlin Heidelberg 2004 Farey seque

改变

Elliptic Curves of Large Rank and Small Conductorng from 1.0136 (for .=6) to over 100 (for .=10 and .=11). We describe our search methods, and tabulate, for each .=5,6,...,11, the five curves of lowest conductor, and (except for .=11) also the five of lowest absolute discriminant, that we found.

Crayon

Binary GCD Like Algorithms for Some Complex Quadratic Rings { − 2, − 7, − 11, − 19}. Thus a binary gcd like algorithm is presented for a unique factorization domain which is not Euclidean (case .=-19). Together with the earlier known binary gcd like algorithms for the ring of integers in . and ., one now has binary gcd like algorithms for all complex quadra

RADE

On the Complexity of Computing Units in a Number FieldPP. As a consequence, we show that . for an ideal in . is in SPP. Furthermore, assuming the GRH, the class number of ., and a presentation for the class group of . can also be computed in SPP. A corollary of our result is that solving PELL’S EQUATION, recently shown by Hallgren [12] to have a quantu

objection

宴会

Factual

Rational Divisors in Rational Divisor Classeslass contains an actual .-rational divisor. When . has points everywhere locally, the local to global principle of the Brauer group gives the existence of such a divisor. In this situation, we give an alternative, more down to earth, approach, which indicates how to compute this divisor in certain s

多节

Conjectures about Discriminants of Hecke Algebras of Prime Level of weight bigger than 2, we are are led to make a precise conjecture about indexes of Hecke algebras in their normalisation which implies (if true) the surprising conjecture that there are no mod . congruences between non-conjugate newforms in ..(Γ.(.)), but there are almost always many such congru

Incorporate

wall-stress

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