Bemerkungen zum Satz von Heegner-Stark über die imaginär-quadratischen Zahlkörper mit der Klassenzahl Eins.
Bernoulli numbers, Hurwitz numbers, p-adic L-functions and Kummer's criterion.
Let K = Q(ζp) and let hp be its class number. Kummer showed that p divides hp if and only if p divides the numerator of some Bernoulli number. In this expository note we discuss the generalizations of this type of criterion to totally real fields and quadratic imaginary fields.
Binary quadratic forms and sums of triangular numbers
Bounds for arithmetic multiplicities.
Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results
A bibliography of recent papers on lower bounds for discriminants of number fields and related topics is presented. Some of the main methods, results, and open problems are discussed.
Bounds for frequencies of class groups of real quadratic genus 1 function fields
Bounds for the degrees of CM-fields of class number one
Brauer-Kuroda relations for S-class numbers
Brumer-Stark-Stickelberger