Berichtigung.
Bernard Bolzano's Schriften [Book]
Bernard Bolzano's Schriften [Book]
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.
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.