On 2-Adic L-Functions and Cyclotomic Invariants.
On a Certain l-Adic Representation.
On a certain subideal of the Stickelberger ideal of a cyclotomic field
On a congruence relation between Jacobi sums and cyclotomic units.
On a Conjecture of Gross on Special Values of L-functions.
On a construction on p-units in abelian fields.
On a cyclotomic diophantine equation.
On a direct sum decomposition of the Dem'yanenko matrix
On a generalization of the Maillet determinant II
On a product related to the cubic Gauss sum.
On an Archimedian characterization of the circular units.
On an equation in cyclotomic numbers
On certain ideals of the group ring
On class numbers of some cyclotomic fields.
On coefficient valuations of Eisenstein polynomials
Let be a prime, let . Let be the norm of under , so that is a purely ramified extension of discrete valuation rings of degree . The minimal polynomial of over is an Eisenstein polynomial; we give lower bounds for its coefficient valuations at . The function field analogue, as introduced by Carlitz and Hayes, is studied as well.
On Cyclic Biquadratic Fields Related to a Problem of Hasse.
On Demuskin groups with involution
On determining the quadratic subfields of -extensions of complex quadratic fields
On divisibility of by the prime
On divisibility of the class number of real octic fields of a prime conductor by
The aim of this paper is to prove the following Theorem Theorem Let be an octic subfield of the field and let be prime. Then divides if and only if divides for some , , , .