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EM
2010
124views Management» more  EM 2010»
13 years 4 months ago
On the Distribution of Class Groups of Number Fields
We propose a modification of the predictions of the Cohen
Gunter Malle
ANTS
2008
Springer
83views Algorithms» more  ANTS 2008»
13 years 11 months ago
Enumeration of Totally Real Number Fields of Bounded Root Discriminant
We enumerate all totally real number fields F with root discriminant F 14. There are 1229 such fields, each with degree [F : Q] 9. In this article, we consider the following prob...
John Voight
ANTS
1998
Springer
139views Algorithms» more  ANTS 1998»
14 years 2 months ago
Generating Arithmetically Equivalent Number Fields with Elliptic Curves
In this note we address the question whether for a given prime number p, the zeta-function of a number field always determines the p-part of its class number. The answer is known t...
Bart de Smit
ANTS
2004
Springer
111views Algorithms» more  ANTS 2004»
14 years 3 months ago
A Method to Solve Cyclotomic Norm Equations
We present a technique to recover f ∈ Q(ζp) where ζp is a primitive pth root of unity for a prime p, given its norm g = f ∗ ¯f in the totally real field Q(ζp + ζ−1 p )....
Nick Howgrave-Graham, Michael Szydlo
MOC
2000
71views more  MOC 2000»
13 years 9 months ago
Zeroes of Dirichlet L-functions and irregularities in the distribution of primes
Seven widely spaced regions of integers with 4,3(x) < 4,1(x) have been discovered using conventional prime sieves. Assuming the generalized Riemann hypothesis, we modify a resul...
Carter Bays, Richard H. Hudson