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...
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...
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 )....
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...