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» Computations of class numbers of real quadratic fields
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MOC
1998
102views more  MOC 1998»
13 years 7 months ago
Classification of integral lattices with large class number
A detailed exposition of Kneser’s neighbour method for quadratic lattices over totally real number fields, and of the sub-procedures needed for its implementation, is given. Usi...
Rudolf Scharlau, Boris Hemkemeier
ANTS
1998
Springer
96views Algorithms» more  ANTS 1998»
13 years 11 months ago
Experimental Results on Class Groups of Real Quadratic Fields
d Abstract) Michael J. Jacobson, Jr. Technische Universit
Michael J. Jacobson Jr.
MOC
2000
102views more  MOC 2000»
13 years 7 months ago
Class group frequencies of real quadratic function fields: The degree 4 case
Abstract. The distribution of ideal class groups of Fq(T, M(T)) is examined for degree-four monic polynomials M Fq[T] when Fq is a finite field of characteristic greater than 3 wi...
Christian Friesen
STOC
2002
ACM
126views Algorithms» more  STOC 2002»
14 years 7 months ago
Polynomial-time quantum algorithms for Pell's equation and the principal ideal problem
We give polynomial-time quantum algorithms for three problems from computational algebraic number theory. The first is Pell's equation. Given a positive nonsquare integer d, ...
Sean Hallgren