AbstractLet F be the rational field or a p-adic field, and let K an algebraic number field over F. If ω1,…, ωn is an integral basis for the ring DL of integers in K, then the quadratic form Q whose matrix is (traceK∥F(ωiωj)) has integral coefficients, and is called an integral trace-form. Q is determined by K up to integral equivalence. The purpose of this paper is to show that the genus of Q determines the ramification of primes in K
International audienceThe present volume is the first in a projected series of three orfour collecti...
International audienceThe present volume is the first in a projected series of three orfour collecti...
International audienceThe present volume is the first in a projected series of three orfour collecti...
AbstractLet F be the rational field or a p-adic field, and let K an algebraic number field over F. I...
Includes bibliographical references (page 50).The study of trace forms of number fields is a fertile...
Algebraic number theory is essentially the study of number fields, which are subfields of the comple...
In this work, we computate the trace form Tr k/Q (x2) associated to a cyclic number field of odd pri...
AbstractIn this paper we determine trace forms of field extensions defined by trinomials Xn + aXk + ...
AbstractIn this paper we determine trace forms of field extensions defined by trinomials Xn + aXk + ...
Let k be a field of characteristic different from 2 containing a primitive 4-th root of unity. We sh...
AbstractLet F be a number field. Let LF be a field extension of degree m and let TrLF be the trace m...
Rost M, Serre J-P, Tignol J-P. La forme trace d'une algèbre simple centrale de degré 4. COMPTES REN...
AbstractA generalization of the following theorem will be proved. If α is an algebraic number of deg...
AbstractA generalization of the following theorem will be proved. If α is an algebraic number of deg...
The aim of this work is to study the number of variables of universal quadratic forms in number fiel...
International audienceThe present volume is the first in a projected series of three orfour collecti...
International audienceThe present volume is the first in a projected series of three orfour collecti...
International audienceThe present volume is the first in a projected series of three orfour collecti...
AbstractLet F be the rational field or a p-adic field, and let K an algebraic number field over F. I...
Includes bibliographical references (page 50).The study of trace forms of number fields is a fertile...
Algebraic number theory is essentially the study of number fields, which are subfields of the comple...
In this work, we computate the trace form Tr k/Q (x2) associated to a cyclic number field of odd pri...
AbstractIn this paper we determine trace forms of field extensions defined by trinomials Xn + aXk + ...
AbstractIn this paper we determine trace forms of field extensions defined by trinomials Xn + aXk + ...
Let k be a field of characteristic different from 2 containing a primitive 4-th root of unity. We sh...
AbstractLet F be a number field. Let LF be a field extension of degree m and let TrLF be the trace m...
Rost M, Serre J-P, Tignol J-P. La forme trace d'une algèbre simple centrale de degré 4. COMPTES REN...
AbstractA generalization of the following theorem will be proved. If α is an algebraic number of deg...
AbstractA generalization of the following theorem will be proved. If α is an algebraic number of deg...
The aim of this work is to study the number of variables of universal quadratic forms in number fiel...
International audienceThe present volume is the first in a projected series of three orfour collecti...
International audienceThe present volume is the first in a projected series of three orfour collecti...
International audienceThe present volume is the first in a projected series of three orfour collecti...
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