3 citations · 4 across the 8 of their papers we have counts for
8 papers
On the Narrow -Class Field Tower of Some Real Quadratic Number Fields, Part II: Lengths
Elliot Benjamin, C. Snyder
We determine precisely when the length of the narrow 2-class field tower is for most of those real quadratic number fields whose discriminant is not a sum of two squares and fo…
On the Narrow -Class Field Tower of Some Real Quadratic Number Fields, Part I: Ranks
Elliot Benjamin, C. Snyder
We determine some properties of the narrow 2-class field tower of those real quadratic number fields whose discriminants are not a sum of two squares and for which their 2-class gr…
The Computation of Gal for some Complex Quadratic Number Fields
Elliot Benjamin, Franz Lemmermeyer, Chip Snyder
We determine the Galois group of the 2-class field tower for two particular families of imaginary quadratic number fields with -class field tower of length .
Extensions with Galois group Hol(C8) unramified over a complex quadratic number field
Elliot Benjamin, Franz Lemmermeyer, Chip Snyder
We study normal extensions with Galois group Hol() that are unramified over a complex quadratic subfield. The Galois group is either the semi-dihedral group or the modular gro…
The distribution of the irreducibles in an algebraic number field
David M. Bradley, Ali E. Özlük, Rebecca A. Rozario +1
We study the distribution of principal ideals generated by irreducible elements in an algebraic number field.
On a class number formula for real quadratic number fields
David M. Bradley, Ali E. Ozluk, C. Snyder
For an even Dirichlet character psi, we obtain a formula for L(1,psi) in terms of a sum of Dirichlet L-series evaluated at s=2 and s=3 and a rapidly convergent numerical series inv…