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RAMIFICATION IN QUARTIC CYCLIC NUMBER FIELDS K GENERATED BY x<sup>4</sup> + px² + p.
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- Mathematica Bohemica, 2021, v. 146, n. 4, p. 471, doi. 10.21136/MB.2021.0131-19
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- Article
The number of D<sub>4</sub>-fields ordered by conductor.
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- Journal of the European Mathematical Society (EMS Publishing), 2021, v. 23, n. 8, p. 2733, doi. 10.4171/JEMS/1070
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- Article
Capitulation of the 2-ideal classes of type (2, 2, 2) of some quartic cyclic number fields.
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- Journal of Mathematical Cryptology, 2019, v. 13, n. 1, p. 27, doi. 10.1515/jmc-2017-0037
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- Article
Dark R2 at low energy.
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- International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2018, v. 33, n. 34, p. N.PAG, doi. 10.1142/S0217751X18450069
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- Article
The index of a quartic field defined by a trinomial X4+aX+b.
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- Journal of Algebra & Its Applications, 2018, v. 17, n. 10, p. N.PAG, doi. 10.1142/S0219498818501979
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- Article
Unitarity constraints on general scalar couplings with SARAH.
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- European Physical Journal C -- Particles & Fields, 2018, v. 78, n. 8, p. 1, doi. 10.1140/epjc/s10052-018-6127-z
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- Article
Locating Complex Roots of Quintic Polynomials.
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- Mathematics Enthusiast, 2018, v. 15, n. 3, p. 529, doi. 10.54870/1551-3440.1443
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- Article
Radiative corrections of heavy scalar decays to gauge bosons in the singlet extension of the Standard Model.
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- European Physical Journal C -- Particles & Fields, 2018, v. 78, n. 3, p. 1, doi. 10.1140/epjc/s10052-018-5743-y
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- Article
Cohomological operations for the Brauer group and Witt kernels of a quartic field extension.
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- Journal of Algebra & Its Applications, 2017, v. 16, n. 5, p. -1, doi. 10.1142/S0219498817500815
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- Article
Mass of the Stabilized Radion in the Limit of Finite Quartic Coupling.
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- Advances in High Energy Physics, 2017, p. 1, doi. 10.1155/2017/1213670
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- Article
TWO RATIONAL NODAL QUARTIC 3-FOLDS.
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- Quarterly Journal of Mathematics, 2016, v. 67, n. 4, p. 573, doi. 10.1093/qmath/haw032
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- Article
Dirichlet series associated to quartic fields with given cubic resolvent.
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- Research in Number Theory, 2016, v. 2, n. 1, p. 1, doi. 10.1007/s40993-015-0001-y
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- Article
Quartic residuacity and the quadratic character of certain quadratic irrationalities.
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- International Journal of Number Theory, 2015, v. 11, n. 8, p. 2487, doi. 10.1142/S1793042115501158
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- Article
On systems of fundamental units of certain quartic fields.
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- International Journal of Number Theory, 2015, v. 11, n. 7, p. 2019, doi. 10.1142/S1793042115500864
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- Article
Cubic moments of Fourier coefficients and pairs of diagonal quartic forms.
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- Journal of the European Mathematical Society (EMS Publishing), 2015, v. 17, n. 11, p. 2887, doi. 10.4171/JEMS/574
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- Article
Anomalous Energy Transport in FPU- $$\beta $$ Chain.
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- Journal of Statistical Physics, 2015, v. 160, n. 3, p. 583, doi. 10.1007/s10955-015-1273-2
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- Article
Phase-space description of a particle in a quartic double-well potential.
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- International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2014, v. 28, n. 24, p. -1, doi. 10.1142/S0217979214501641
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- Article
Effects of complex parameters on classical trajectories of Hamiltonian systems.
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- Pramana: Journal of Physics, 2014, v. 82, n. 6, p. 973, doi. 10.1007/s12043-014-0750-5
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- Article
On Conjectures of A. Eremenko and A. Gabrielov for Quasi-Exactly Solvable Quartic.
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- Letters in Mathematical Physics, 2013, v. 103, n. 6, p. 653, doi. 10.1007/s11005-013-0611-z
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- Article
ERRATUM: "ON THE QUARTIC HIGHER-DERIVATIVE GRAVITATIONAL TERMS IN THE HETEROTIC SUPERSTRING THEORY".
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- 2013
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- Erratum
NP-hardness of deciding convexity of quartic polynomials and related problems.
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- Mathematical Programming, 2013, v. 137, n. 1/2, p. 453, doi. 10.1007/s10107-011-0499-2
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- Article
ON THE STABILITIES OF QUARTIC MAPPINGS IN SOME SPACES.
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- Journal of Computational Analysis & Applications, 2013, v. 15, n. 1, p. 237
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- Article
ON NUMBER FIELDS WITH EQUIVALENT INTEGRAL TRACE FORMS.
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- International Journal of Number Theory, 2012, v. 8, n. 7, p. 1569, doi. 10.1142/S1793042112500807
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- Article
EXCEPTIONAL ELLIPTIC CURVES OVER QUARTIC FIELDS.
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- International Journal of Number Theory, 2012, v. 8, n. 5, p. 1231, doi. 10.1142/S1793042112500716
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- Article
ON THE SUM OF CONSECUTIVE INTEGERS IN SEQUENCES II.
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- International Journal of Number Theory, 2012, v. 8, n. 5, p. 1281, doi. 10.1142/S1793042112500753
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- Article
THE STRONG CHOWLA-MILNOR SPACES AND A CONJECTURE OF GUN, MURTY AND RATH.
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- International Journal of Number Theory, 2012, v. 8, n. 5, p. 1301, doi. 10.1142/S1793042112500765
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- Article
EXAMPLES OF NORM-EUCLIDEAN IDEAL CLASSES.
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- International Journal of Number Theory, 2012, v. 8, n. 5, p. 1315, doi. 10.1142/S1793042112500777
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- Article
NEWTON POLYGONS AND p-INTEGRAL BASES OF QUARTIC NUMBER FIELDS.
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- Journal of Algebra & Its Applications, 2012, v. 11, n. 4, p. 1, doi. 10.1142/S0219498812500739
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- Article
ERRATUM:: "THE WHEELER-DEWITT EQUATION FOR THE HETEROTIC SUPERSTRING THEORY INCLUDING TERMS QUARTIC IN THE RIEMANN TENSOR".
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- 2012
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- Erratum
UPPER BOUNDS FOR THE NUMBER OF SOLUTIONS TO QUARTIC THUE EQUATIONS.
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- International Journal of Number Theory, 2012, v. 8, n. 2, p. 335, doi. 10.1142/S1793042112500200
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- Article
Complex dynamical invariants for two-dimensional nonhermitian Hamiltonian systems.
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- Canadian Journal of Physics, 2012, v. 90, n. 2, p. 151, doi. 10.1139/p11-152
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- Article
$\mathbb{Q}(\sqrt{2}, \sqrt{35})$ HAS A NON-PRINCIPAL EUCLIDEAN IDEAL.
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- International Journal of Number Theory, 2011, v. 7, n. 8, p. 2269, doi. 10.1142/S1793042111004988
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- Article
DARK MATTER DATA AND QUARTIC SELF-COUPLINGS IN INERT DOUBLET MODEL.
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- Acta Physica Polonica B, 2011, v. 42, n. 11, p. 2237, doi. 10.5506/APhysPolB.42.2237
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- Article
Quartic B-spline collocation method for fifth order boundary value problems.
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- Computing, 2011, v. 92, n. 4, p. 365, doi. 10.1007/s00607-011-0149-9
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- Article
ON NUMBER FIELDS WITH NONTRIVIAL SUBFIELDS.
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- International Journal of Number Theory, 2011, v. 7, n. 3, p. 695, doi. 10.1142/S1793042111004204
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- Article
Circular quartics in the isotropic plane generated by projectively linked pencils of conics.
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- Acta Mathematica Hungarica, 2011, v. 130, n. 1/2, p. 35, doi. 10.1007/s10474-010-0038-2
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- Article
AN ARITHMETIC INTERSECTION FORMULA ON HILBERT MODULAR SURFACES.
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- American Journal of Mathematics, 2010, v. 132, n. 5, p. 1275, doi. 10.1353/ajm.2010.0002
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- Article
Le problème des diviseurs pour des formes binaires de degré 4.
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- Journal für die Reine und Angewandte Mathematik, 2010, v. 2010, n. 646, p. 1, doi. 10.1515/CRELLE.2010.064
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- Article
The Stability of the Quartic Functional Equation in Random Normed Spaces.
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- Acta Applicandae Mathematicae, 2010, v. 110, n. 2, p. 797, doi. 10.1007/s10440-009-9476-7
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- Article
META-STABLE BRANE CONFIGURATIONS BY DUALIZING THE TWO GAUGE GROUPS.
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- International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics, 2010, v. 25, n. 6, p. 1185, doi. 10.1142/S0217751X10047919
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- Article
A 17-node quadrilateral spline finite element using the triangular area coordinates.
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- Applied Mathematics & Mechanics, 2010, v. 31, n. 1, p. 125, doi. 10.1007/s10483-010-0113-1
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- Article
INVISIBLE TECHNICOLOR.
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- Acta Physica Polonica B, 2009, v. 40, n. 1, p. 67
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- Article
INTEGRABLE DISCRETIZATIONS OF A TWO-DIMENSIONAL HAMILTONIAN SYSTEM WITH A QUARTIC POTENTIAL.
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- International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2008, v. 22, n. 12, p. 1911, doi. 10.1142/S0217979208039228
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- Article
R4in type II superstrings.
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- Fortschritte der Physik / Progress of Physics, 2008, v. 56, n. 4/5, p. 0, doi. 10.1002/prop.200710531
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- Article
Fano direct products as rationally connected fibrations.
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- Journal of Mathematical Sciences, 2007, v. 140, n. 2, p. 303, doi. 10.1007/s10958-007-0425-6
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- Article
Reflection Principles and Bounds for Class Group Torsion.
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- IMRN: International Mathematics Research Notices, 2007, v. 2007, p. 1, doi. 10.1093/imrn/rnm002
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- Article
Beyond vibrational self-consistent-field methods: Benchmark calculations for the fundamental vibrations of ethylene.
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- International Journal of Quantum Chemistry, 2005, v. 104, n. 5, p. 667, doi. 10.1002/qua.20615
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- Article
Anharmonic Analysis of the Vibrational States of Pyrimidine by the Density Functional Method.
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- Optics & Spectroscopy, 2004, v. 97, n. 2, p. 210, doi. 10.1134/1.1790638
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- Article
Calculation of Second- and Higher-Order Force Constants Including Electron Correlation Effects and Hartree<MATH>-</MATH>Fock Force Constant Scaling.
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- Journal of Structural Chemistry, 2003, v. 44, n. 4, p. 538, doi. 10.1023/B:JORY.0000017928.09792.01
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- Article
On quartics with three-divisible sets of cusps.
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- Manuscripta Mathematica, 2003, v. 111, n. 1, p. 29, doi. 10.1007/s00229-002-0348-y
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- Article