A class number criterion for the equation
A congruence for the index of a unit of a real abelian number field
A construction of unramified Abelian l-extensions of regular Kummer extensions
A criterion for the class number of a pure quintic field to be divisible by 5.
A cubic analogue of the theta series.
A cubic analogue of the theta series. II.
A generalisation of Artin's conjecture for primitive roots
A Generalization of Kummer's Criterion.
A generalization of Scholz’s reciprocity law
We provide a generalization of Scholz’s reciprocity law using the subfields and of , of degrees and over , respectively. The proof requires a particular choice of primitive element for over and is based upon the splitting of the cyclotomic polynomial over the subfields.
A geometric proof of Kummer's reciprocity law for seventh powers
A Modular Construction of Unramified p-Extension of Q (...).
A New Characterization of the Integer 5906.
A note on a cyclotomic diophantine equation
A note on Artin's conjecture in algebraic number fields.
A note on basic Iwasawa ?-invariants of imaginary quadratic fields.
A note on Catalan's equation
A Note on Cyclotomic Fields.
A note on polynomial cycles
A note on representation of cyclotomic fields
A note on the Hankel transform of the central binomial coefficients.