AbstractFor any algebraic number field K there is a positive number ϵ such that if α is a nonzero integer of K other than a root of unity, then at least one conjugate of α has absolute value ≥ 1 + ϵ. It has been conjectured that ϵ can be taken as 21n − 1, where n is the degree of K over the field of rationals. In this paper various conditions are discussed under which the validity of this conjecture can be established
AbstractIn 1952, Kurt Heegner gave a proof of the fact that there are exactly nine complex quadratic...
For a number field $K$, Ihara has introduced an invariant $\gamma_K$, called the Euler-Kronecker con...
Let α be a number algebraic over the rationals and let H(α) denote the absolute logarithmic height o...
AbstractFor any algebraic number field K there is a positive number ϵ such that if α is a nonzero in...
AbstractWe present two variations of Kronecker's classical result that every nonzero algebraic integ...
In this paper we show that the relative normalised size with respect to a number field K of an algeb...
We study effectively the simultaneous approximation of n-1 different complex numbers by conjugate al...
It should be one of the most interesting themes of algebraic number theory to make clear the mutual ...
In this paper we show that for each k ∈ N there are innitely many algebraic integers with norm k and...
Effective simultaneous approximation of complex numbers by conjugate algebraic integers by G. J. Rie...
AbstractTwo number fields K|k, K′|k are called Kronecker equivalent over k iff the sets of primes of...
Let α be an algebraic number of degree d ≥ 3 and let K be the algebraic number field Q(α). When ε is...
AbstractCertain bounds on the maximum modulus of an algebraic integer α, depending on the degree, im...
AbstractTwo number fields K|k, K′|k are called Kronecker equivalent over k iff the sets of primes of...
RésuméFor a real algebraic number θ of degree D, it follows from results of W. M. Schmidt and E. Wir...
AbstractIn 1952, Kurt Heegner gave a proof of the fact that there are exactly nine complex quadratic...
For a number field $K$, Ihara has introduced an invariant $\gamma_K$, called the Euler-Kronecker con...
Let α be a number algebraic over the rationals and let H(α) denote the absolute logarithmic height o...
AbstractFor any algebraic number field K there is a positive number ϵ such that if α is a nonzero in...
AbstractWe present two variations of Kronecker's classical result that every nonzero algebraic integ...
In this paper we show that the relative normalised size with respect to a number field K of an algeb...
We study effectively the simultaneous approximation of n-1 different complex numbers by conjugate al...
It should be one of the most interesting themes of algebraic number theory to make clear the mutual ...
In this paper we show that for each k ∈ N there are innitely many algebraic integers with norm k and...
Effective simultaneous approximation of complex numbers by conjugate algebraic integers by G. J. Rie...
AbstractTwo number fields K|k, K′|k are called Kronecker equivalent over k iff the sets of primes of...
Let α be an algebraic number of degree d ≥ 3 and let K be the algebraic number field Q(α). When ε is...
AbstractCertain bounds on the maximum modulus of an algebraic integer α, depending on the degree, im...
AbstractTwo number fields K|k, K′|k are called Kronecker equivalent over k iff the sets of primes of...
RésuméFor a real algebraic number θ of degree D, it follows from results of W. M. Schmidt and E. Wir...
AbstractIn 1952, Kurt Heegner gave a proof of the fact that there are exactly nine complex quadratic...
For a number field $K$, Ihara has introduced an invariant $\gamma_K$, called the Euler-Kronecker con...
Let α be a number algebraic over the rationals and let H(α) denote the absolute logarithmic height o...
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