A comparison of Selmer groups.
A complete generalization of Yokoi's p-invariants
A complete parametriziation of cyclic field extensions of 2-power degree.
A computer algorithm for finding new euclidean number fields
This article describes a computer algorithm which exhibits a sufficient condition for a number field to be euclidean for the norm. In the survey [3] p 405, Franz Lemmermeyer pointed out that 743 number fields where known (march 1994) to be euclidean (the first one, , discovered by Euclid, three centuries B.C.!). In the first months of 1997, we found more than 1200 new euclidean number fields of degree 4, 5 and 6 with a computer algorithm involving classical lattice properties of the embedding of...
A concept of Bernoulli numbers in algebraic function fields.
A Concept of Bernoulli Numbers in Algebraic Function Fields (II).
A congruence for the index of a unit of a real abelian number field
A congruence relating to class number of complex quadratic fields
A construction of unramified Abelian l-extensions of regular Kummer extensions
A constructive proof of the Density of Algebraic Pfaff Equations without Algebraic Solutions
We present a constructive proof of the fact that the set of algebraic Pfaff equations without algebraic solutions over the complex projective plane is dense in the set of all algebraic Pfaff equations of a given degree.
A continued fraction proof of Ford's theorem on complex rational approximations.
A correction to the paper "Upper bounds for class numbers of real quadratic fields" (Acta Arith. 68 (1994), 141-144)
A counterexample to a conjecture of multinomial degree
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 Cuspidal Class Number Formula for the Modular Curves X1(N).
A density result for elliptic Dedekind sums
A determinant formula for congruence zeta functions of maximal real cyclotomic function fields
A determinant formula for the relative class number of an imaginary abelian number field
We give a new formula for the relative class number of an imaginary abelian number field by means of determinant with elements being integers of a cyclotomic field generated by the values of an odd Dirichlet character associated to . We prove it by a specialization of determinant formula of Hasse.