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A note on the integral trace form in cyclotomic fields
(World Scientific Publ Co Pte Ltd, 2015-05-01)
Let m >= 3 be an integer, zeta(m) is an element of C a primitive mth root of unity, and K-m the cyclotomic field Q(zeta(m)). An explicit description of the integral trace form Tr-Km/Q(x (x) over bar)vertical bar Z[zeta(m)] ...
Trace form associated to cyclic number fields of ramified odd prime degree
(2019-01-01)
In this work, we computate the trace form Tr k/Q (x2) associated to a cyclic number field of odd prime degree p, where p ramified in and x belongs to the ring of integers of . Furthermore, we use this trace form to calculate ...
Integral trace form of extensions of degree pq
(2021-01-01)
In this work, we present the integral trace form TrM/Q(x2) of a cyclic extension M/Q with degree pq, where M = KL, p and q are distinct odd primes, the conductor of M is a square free integer, and x belongs to the ring of ...
CLASSES OF FORMS WITT EQUIVALENT TO A SECOND TRACE FORM OVER FIELDS OF CHARACTERISTIC TWO
(Universidad Católica del Norte, Departamento de Matemáticas, 2003)
THE INTEGRAL TRACE FORM OF CYCLIC EXTENSIONS OF ODD PRIME DEGREE
(Rocky Mt Math Consortium, 2017-01-01)
Let L/Q be a cyclic extension of degree p, where p is an odd unramified prime in L/Q. An explicit description of the integral trace form Tr-L/Q(x(2))|O-L, where O-L is the ring of algebraic integers of L, is given, and an ...
A note on the integral trace form in cyclotomic fields
(World Scientific Publ Co Pte Ltd, 2015)
A note on the integral trace form in cyclotomic fields
(World Scientific Publ Co Pte Ltd, 2015)
Reciprocity relations and generalized, classic entropic quantifiers that lack trace-form
(Elsevier Science, 2019-02-01)
In this effort we show that the Legendre reciprocity relations, thermodynamics’ essential formal feature, are respected by general classic entropic functionals, even if they are NOT of trace-form nature, in contrast with ...
On trace forms of higher degree
(Elsevier Science Inc., 2008)