Add to ORKGthe fundamental notion of Kronecker equivalence. Two extensions K|k and K ′|k of number fields are called Kronecker equivalent over k (K ∼k K ′) iff the sets D(K|k) of all primes of k which have a divisor of first degree in K and D(K ′|k) coincide up to at most finitely many exceptions (there are a
AbstractLet K be an algebraic number field, of degree n, with a completely ramifying prime p, and le...
Let R be a Dedekind domain with quotient field K and let R be the integral closure of R in an algeb...
AbstractWe present two variations of Kronecker's classical result that every nonzero algebraic integ...
AbstractTwo number fields K|k, K′|k are called Kronecker equivalent over k iff the sets of primes of...
AbstractTwo number fields K|k, K′|k are called Kronecker equivalent over k iff the sets of primes of...
AbstractTwo number fields K and K′ are arithmetically equivalent if and only if every rational prime...
It should be one of the most interesting themes of algebraic number theory to make clear the mutual ...
In this bachelor's thesis we give a complete proof of the Kronecker-Weber theorem, which states that...
AbstractFor any algebraic number field K there is a positive number ϵ such that if α is a nonzero in...
AbstractFor any algebraic number field K there is a positive number ϵ such that if α is a nonzero in...
In this bachelor's thesis we give a complete proof of the Kronecker-Weber theorem, which states that...
This is the fourth part of a four-article series containing a Mizar [3], [2], [1] formalization of K...
AbstractThis paper continues the investigation of a class of modules Er⩾ 2, constructed from submodu...
AbstractLet k be a global function field over the field Fq where q = pm and let ∞ be a fixed prime o...
AbstractTwo algebraic number fields are arithmetically equivalent when their zeta functions coincide...
AbstractLet K be an algebraic number field, of degree n, with a completely ramifying prime p, and le...
Let R be a Dedekind domain with quotient field K and let R be the integral closure of R in an algeb...
AbstractWe present two variations of Kronecker's classical result that every nonzero algebraic integ...
AbstractTwo number fields K|k, K′|k are called Kronecker equivalent over k iff the sets of primes of...
AbstractTwo number fields K|k, K′|k are called Kronecker equivalent over k iff the sets of primes of...
AbstractTwo number fields K and K′ are arithmetically equivalent if and only if every rational prime...
It should be one of the most interesting themes of algebraic number theory to make clear the mutual ...
In this bachelor's thesis we give a complete proof of the Kronecker-Weber theorem, which states that...
AbstractFor any algebraic number field K there is a positive number ϵ such that if α is a nonzero in...
AbstractFor any algebraic number field K there is a positive number ϵ such that if α is a nonzero in...
In this bachelor's thesis we give a complete proof of the Kronecker-Weber theorem, which states that...
This is the fourth part of a four-article series containing a Mizar [3], [2], [1] formalization of K...
AbstractThis paper continues the investigation of a class of modules Er⩾ 2, constructed from submodu...
AbstractLet k be a global function field over the field Fq where q = pm and let ∞ be a fixed prime o...
AbstractTwo algebraic number fields are arithmetically equivalent when their zeta functions coincide...
AbstractLet K be an algebraic number field, of degree n, with a completely ramifying prime p, and le...
Let R be a Dedekind domain with quotient field K and let R be the integral closure of R in an algeb...
AbstractWe present two variations of Kronecker's classical result that every nonzero algebraic integ...