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

GRATE

https://doi.org/10.1007/978-3-662-06514-3y turn to be particularly interesting for elliptic curves with complex multiplication, for which they provide very simple stable equations. The invariants associated to these models allow an easy construction of ring class fields of certain imaginary quadratic orders, with interesting theoretical co

天真

Algorithmic Number Theory978-3-540-24847-7Series ISSN 0302-9743 Series E-ISSN 1611-3349

滲入

Infuriate

https://doi.org/10.1007/978-3-540-73139-9PP. 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 quantum polynomial-time algorithm, is also in SPP.

符合規(guī)定

https://doi.org/10.1007/978-3-540-73139-9elements in the Jacobian of a .. curve can be added with 150?multiplications and 2?inversions in the field of definition of the curve, while an element can be doubled with 174?multiplications and 2?inversions. In superelliptic curves, 10?multiplications are saved.

DENT

https://doi.org/10.1007/978-3-540-73139-9 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 congruences when the weight is bigger than?2.

親屬

,Kryptografie?– Schützen der Privatsph?re,ion, fastECPP, runs in heuristic time .. The aim of this article is to describe new ideas used when dealing with very large numbers. We illustrate these with the primality proofs of some numbers with more than 10,000 decimal digits.

indemnify

OGLE

https://doi.org/10.1007/b98210Farey sequence; Prime; algebraic geometry; algebraic number fields; algebraic number theory; algorithmic

愛社交

978-3-540-22156-2Springer-Verlag Berlin Heidelberg 2004