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ANTS
2008
Springer
105views Algorithms» more  ANTS 2008»
14 years 28 days ago
Number Fields Ramified at One Prime
John W. Jones, David P. Roberts
MOC
2011
13 years 5 months ago
Class numbers of ray class fields of imaginary quadratic fields
Let K be an imaginary quadratic field with class number one and let p ⊂ OK be a degree one prime ideal of norm p not dividing 6dK . In this paper we generalize an algorithm of S...
Omer Kucuksakalli
MOC
2002
132views more  MOC 2002»
13 years 10 months ago
Comparison of algorithms to calculate quadratic irregularity of prime numbers
In previous work, the author has extended the concept of regular and irregular primes to the setting of arbitrary totally real number fields k0, using the values of the zeta functi...
Joshua Holden
MOC
2010
13 years 5 months ago
The number field sieve for integers of low weight
We define the weight of an integer N to be the smallest w such that N can be represented as w i=1 i2ci , with 1,..., w{1,-1}. Since arithmetic modulo a prime of low weight is parti...
Oliver Schirokauer
MOC
2002
70views more  MOC 2002»
13 years 10 months ago
Solving norm equations in relative number fields using S-units
Abstract. In this paper, we are interested in solving the so-called norm equation NL/K(x) = a, where L/K is a given arbitrary extension of number fields and a a given algebraic num...
Denis Simon