Results 21 to 30 of about 167,419 (271)
Combinatorics on Finite Fields: the Sign Repartition for the Quadratic Residues
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 In the present paper we present the equivalence between the combinatorial determination of the sign repartition for the quadratic residues and non-residues to the computation of the class number of certain quadratic extensions of the field of rationals.
Bărcănescu Şerban
doaj +1 more source
Counterexamples to a conjecture of Lemmermeyer [PDF]
, 1998 We produce infinitely many finite 2-groups that do not embed with index 2 in any group generated by involutions. This disproves a conjecture of Lemmermeyer and restricts the possible Galois groups of unramified 2-extensions, Galois over the rationals, of
Boston, Nigel, Leedham-Green, Charles
core +1 more source
On quadratic Ostrowski extensions of imaginary quadratic fields
The Ramanujan Journal, 2022 Abstract In this paper we discuss an analogue of Hilbert’s theorems 105 and106, i.e. a re-interpretation of Gauss’ “genus theory”, for imaginary quadratic fields of class number one. We explicitly compute all biquadratic fields whose ambiguous ideal classes over an imaginary quadratic field of class number one are principal.
Naroui, Razieh, Rajaei, Ali
openaire +2 more sources
Quadratic subfields on quartic extensions of local fields
International Journal of Mathematics and Mathematical Sciences, 1988 We show that any quartic extension of a local field of odd residue characteristic must contain an intermediate field. A consequence of this is that local fields of odd residue characteristic do not have extensions with Galois group A4 or S4 ...
Joe Repka
doaj +1 more source
Extensions of Gronwall's inequality with quadratic growth terms and applications
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We obtain some new Gronwall type inequalities where, instead of linear growth assumptions, we allow quadratic (or more) growth provided some additional conditions are satisfied. Applications are made to both local and nonlocal boundary value problems for
Jeff Webb
doaj +1 more source
Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry
Discussiones Mathematicae - General Algebra and Applications, 2017 In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity.
Lezama Oswaldo
doaj +1 more source
Leading nonlinear tidal effects and scattering amplitudes
Journal of High Energy Physics, 2021 We present the two-body Hamiltonian and associated eikonal phase, to leading post-Minkowskian order, for infinitely many tidal deformations described by operators with arbitrary powers of the curvature tensor.
Zvi Bern +4 more
doaj +1 more source
On the Schmidt Subspace Theorem [PDF]
, 2012 We study extensions and generalizations of the Schmidt Subspace Theorem in various settings. In particular, we prove results for algebraic points of bounded degree, giving a sharp version of Schmidt's theorem for quadratic points in the projective plane ...
Levin, Aaron
core +1 more source
Extensions, crossed modules and pseudo quadratic Lie type superalgebras
Extracta Mathematicae, 2022 Extensions and crossed modules of Lie type superalgebras are introduced and studied. We construct homology and cohomology theories of Lie-type superalgebras.
M. Pouye, B. Kpamegan
doaj
The size function for quadratic extensions of complex quadratic fields [PDF]
Journal de théorie des nombres de Bordeaux, 2017 The function h 0 for a number field is an analogue of the dimension of the Riemann–Roch spaces of divisors on an algebraic curve. In this paper, we prove the conjecture of van der Geer and Schoof about the maximality of h 0 at the trivial Arakelov divisor for quadratic extensions of complex quadratic fields.
Tran Nguyen Thanh, Ha
openaire +3 more sources