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» Computations of class numbers of real quadratic fields
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MOC
1998
102views more  MOC 1998»
14 years 9 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»
15 years 1 months ago
Experimental Results on Class Groups of Real Quadratic Fields
d Abstract) Michael J. Jacobson, Jr. Technische Universit
Michael J. Jacobson Jr.
76
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MOC
2000
102views more  MOC 2000»
14 years 9 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»
15 years 9 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