Transformations of a quadratic form which do not increase the class-number II

Poliovirus Particles do not Form in Preinfected Cells with Reovirus

Background and Aims: Inhibition of viral growth in coinfected cells with two different viruses has been described. This phenomenon known as viral interference can occur in several virus host systems such as interference of enterovirus infection on poliovirus vaccine strains. In this study we superinfected reovirus infected HeLa cells with poliovirus to determine if poliovirus can replicate in s...

On a Class Number Formula for Real Quadratic Number Fields

For an even Dirichlet character , we obtain a formula for L(1;) in terms of a sum of Dirichlet L-series evaluated at s = 2 and s = 3 and a rapidly convergent numerical series involving the central binomial coeecients. We then derive a class number formula for real quadratic number elds by taking L(s;) to be the quadratic L-series associated with these elds.

On the Divisibility of the Class Number of Quadratic Fields

Real Quadratic Orders with Large Class Number

Acknowledgements I am undoubtedly indebted to my two supervisors, Alf van der Poorten and Hugh Williams. Most students would feel lucky to have one good supervisor whereas I had the privilege of having two excellent mathematicians to guide me. Their help, wisdom and infinite patience has been invaluable, and I am very grateful for it. The Mathematics Department at Macquarie University has provi...

Ternary quadratic forms over number fields with small class number

We enumerate all positive definite ternary quadratic forms over number fields with class number at most 2. This is done by constructing all definite quaternion orders of type number at most 2 over number fields. Finally, we list all definite quaternion orders of ideal class number 1 or 2.