2-adic and 3-adic part of class numbers and properties of central values of L-functions
2-extensions of ℚ with trivial 2-primary Hilbert kernel
A Banach space determined by the Weil height
A Bound for the Least Prime Ideal in the Chebotarev Density Theorem.
A bound for the torsion in the -theory of algebraic integers.
A categorical contribution to the Kummer theory of ideal numbers
A certain property of polynomials.
A certain property of polynomials. (Short Communication).
A Characterization of Algebraic Number Fields with Cyclic Class Group of Prime Power Order.
A characterization of Hermitian function fields over finite fields.
A “class group” obstruction for the equation
In this paper, we study equations of the form , where is a binary form, homogeneous of degree , which is supposed to be primitive and irreducible, and is any fixed integer. Using classical tools in algebraic number theory, we prove that the existence of a proper solution for this equation implies the existence of an integral ideal of given norm in some order in a number field, and also the existence of a specific relation in the class group involving this ideal. In some cases, this result...
A class number congruence for cyclotomic fields and their subfields
A class number criterion for the equation
A class of diophantine equations connected with certain elliptic curves over
A Class of Discrete Spectra of Non-Pisot Numbers
A class of irreducible polynomials
Let , where . We show that f(x) and f(x²) are irreducible over ℚ. Moreover, the upper bound of on the coefficients of f(x) is the best possible in this situation.
A Class of Periodic Jacobi-Perron Algorithms in Pure Algebraic Number Fields of Degree n...3.
A class of polynomials
A class–field theoretical calculation
In this paper, we give the complete characterization of the –torsion subgroups of certain idèle–class groups associated to characteristic function fields. As an application, we answer a question which arose in the context of Tan’s approach [6] to an important particular case of a generalization of a conjecture of Gross [4] on special values of –functions.
A combinatorial class number formula.