Schinzel-type bounds for the Mahler measure on lemniscates

Συγγραφείς: Looney, Ryan, Pritsker, Igor

Πηγή: Mathematics of Computation.

Θεματικοί όροι: PV-numbers and generalizations, other special algebraic numbers, Mahler measure, Polynomials and rational functions of one complex variable, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Polynomials in real and complex fields: location of zeros (algebraic theorems), lemniscates, 0101 mathematics, Discrete potential theory, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7962058
https://doi.org/10.1090/mcom/3985

Polynomials that vanish to high order on most of the hypercube

Συγγραφείς: Sauermann, Lisa, Wigderson, Yuval

Συνεισφορές: Massachusetts Institute of Technology. Department of Mathematics

Πηγή: Journal of the London Mathematical Society. 106:2379-2402

Θεματικοί όροι: FOS: Mathematics, Packing and covering in \(n\) dimensions (aspects of discrete geometry), Mathematics - Combinatorics, Polynomials in real and complex fields: location of zeros (algebraic theorems), Combinatorics (math.CO), 0102 computer and information sciences, 0101 mathematics, Combinatorial aspects of packing and covering, 01 natural sciences, Combinatorial identities, bijective combinatorics

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2010.00077
https://zbmath.org/7730866
https://doi.org/10.1112/jlms.12637

On the relations between the zeros of a polynomial and its Mahler measure

Συγγραφείς: Ounaïes, Myriam, Rhin, Georges, Sac-Epee, Jean-Marc

Συνεισφορές: Sac-Epee, Jean-Marc

Πηγή: Journal of Number Theory. 224:165-190

Θεματικοί όροι: Mathematics - Number Theory, Polynomials in real and complex fields: location of zeros (algebraic theorems), 01 natural sciences, estimation of the zeros, Integer polynomials, PV-numbers and generalizations, other special algebraic numbers, Mahler measure, FOS: Mathematics, Number Theory (math.NT), 0101 mathematics, 11C08 11R06, 11C08, 12D10, Algebraic numbers, rings of algebraic integers, Polynomials in number theory, Polynomials (irreducibility, etc.), length of a polynomial, number of real zeros, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/2103.07126
http://arxiv.org/abs/2103.07126
https://hal.science/hal-03152895v1
https://doi.org/10.1016/j.jnt.2021.01.016
https://zbmath.org/7334485
https://doi.org/10.1016/j.jnt.2021.01.016
http://ui.adsabs.harvard.edu/abs/2021arXiv210307126O/abstract
https://hal.archives-ouvertes.fr/hal-03152895
https://arxiv.org/abs/2103.07126
https://www.sciencedirect.com/science/article/pii/S0022314X21000445
https://arxiv.org/pdf/2103.07126.pdf

A brief account of Klein’s icosahedral extensions

Συγγραφείς: Solanilla, Leonardo ^⁎, Barreto, Erick S., Morales, Viviana

Πηγή: In Indagationes Mathematicae March 2022 33(2):482-493

Discovering the Roots: Uniform Closure Results for Algebraic Classes Under Factoring: Discovering the roots: uniform closure results for algebraic classes under factoring

Συγγραφείς: Pranjal Dutta, Nitin Saxena, Amit Sinhababu

Πηγή: Journal of the ACM. 69:1-39

Θεματικοί όροι: FOS: Computer and information sciences, Computational methods for problems pertaining to field theory, Computer Science - Computational Complexity, F.1.1, I.1.2, F.1.3, G.1.5, Networks and circuits as models of computation, circuit complexity, Analysis of algorithms and problem complexity, Polynomials in real and complex fields: location of zeros (algebraic theorems), Computational Complexity (cs.CC), Symbolic computation and algebraic computation

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://dl.acm.org/doi/pdf/10.1145/3510359
http://arxiv.org/pdf/1710.03214
http://arxiv.org/abs/1710.03214
https://arxiv.org/abs/1710.03214
https://dl.acm.org/doi/pdf/10.1145/3188745.3188760
https://dblp.uni-trier.de/db/journals/corr/corr1710.html#abs-1710-03214

Positive root isolation for poly-powers by exclusion and differentiation

Συγγραφείς: Zhibin Li, Cheng-Chao Huang, Ming Xu, Jing-Cao Li

Πηγή: Journal of Symbolic Computation. 85:148-169

Θεματικοί όροι: Systems biology, networks, Computational aspects of field theory and polynomials, generalized polynomial, Polynomials in real and complex fields: location of zeros (algebraic theorems), real root isolation, systems biology, 0102 computer and information sciences, interval arithmetic, 0101 mathematics, Symbolic computation and algebraic computation, transcendental number, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/6789134
https://doi.org/10.1016/j.jsc.2017.07.007
https://core.ac.uk/display/132711260
http://www.sciencedirect.com/science/article/pii/S0747717117300718
https://dblp.uni-trier.de/db/journals/jsc/jsc85.html#HuangLXL18
https://doi.org/10.1016/j.jsc.2017.07.007
https://publications.rwth-aachen.de/record/709585
https://www.sciencedirect.com/science/article/pii/S0747717117300718

on some generalisations of brown s conjecture: On some generalisations of Brown's conjecture

Συγγραφείς: B. A. Zargar, Manzoor Ahmad

Πηγή: International Journal of Nonlinear Analysis and Applications. 7(2):345-349

Θεματικοί όροι: Sendov's conjecture, critical points, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), coincidence theorem of Walsh, Polynomials in real and complex fields: location of zeros (algebraic theorems)

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/6699929
https://www.ijnaa.semnan.ac.ir/article_2320.html
http://ijnaa.semnan.ac.ir/article_2320_2cb9da095415c881426e1ad3495e119c.pdf

A Salem number with degree 34 and trace −3: A salem number with degree 34 and trace -3

Συγγραφείς: El Otmani, S, Rhin, G, Sac-Epee, Jean-Marc

Συνεισφορές: Sac-Epee, Jean-Marc

Πηγή: Journal of Number Theory. 150:21-25

Θεματικοί όροι: 12D10, Polynomials in real and complex fields: location of zeros (algebraic theorems), 11R09, Polynomials, totally positive algebraic integers, 01 natural sciences, Real polynomials: location of zeros, Mixed integer programming, 11C08, 11S05, 0101 mathematics, 26C10, Polynomials in number theory, Polynomials (irreducibility, etc.), Salem numbers of small trace, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]

Περιγραφή αρχείου: application/pdf; application/xml

Σύνδεσμος πρόσβασης: https://hal.science/hal-01100988v1
https://hal.science/hal-01100988v1/document
https://doi.org/10.1016/j.jnt.2014.11.013
https://hal.archives-ouvertes.fr/hal-01100988/document
https://hal.archives-ouvertes.fr/hal-01100988
https://www.sciencedirect.com/science/article/pii/S0022314X14003886
https://www.sciencedirect.com/science/article/abs/pii/S0022314X14003886

A Moment Approach to Analyze Zeros of Triangular Polynomial Sets: A moment approach to analyze zeros of triangular polynomial sets

Συγγραφείς: Jean B. Lasserre

Πηγή: Lecture Notes in Control and Information Sciences ISBN: 9783540239482

Θεματικοί όροι: 4. Education, Polynomials in real and complex fields: location of zeros (algebraic theorems), 0101 mathematics, Moment problems and interpolation problems in the complex plane, 16. Peace & justice, 01 natural sciences, Real polynomials: location of zeros

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://www.ams.org/tran/2006-358-04/S0002-9947-05-03972-3/S0002-9947-05-03972-3.pdf
https://www.ams.org/tran/2006-358-04/S0002-9947-05-03972-3/S0002-9947-05-03972-3.pdf
http://www.optimization-online.org/DB_FILE/2004/03/840.pdf
https://www.ams.org/journals/tran/2006-358-04/S0002-9947-05-03972-3/home.html
https://www.ams.org/tran/2006-358-04/S0002-9947-05-03972-3/S0002-9947-05-03972-3.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=2205965

On the distribution of the number of real zeros of a random polynomial

Συγγραφείς: Dmitry Zaporozhets

Πηγή: Journal of Mathematical Sciences. 137:4525-4530

Θεματικοί όροι: Random power series in one complex variable, random polynomial, Polynomials in real and complex fields: location of zeros (algebraic theorems), Polynomials, rational functions in real analysis, 0101 mathematics, 01 natural sciences, zeros of real polynomial

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2187769
https://link.springer.com/article/10.1007/s10958-006-0245-0
https://link.springer.com/content/pdf/10.1007/s10958-006-0245-0.pdf

Bounding the Roots of Ideal and Open Set Polynomials: Bounding the roots of ideal and open set polynomials

Συγγραφείς: Carl A. Hickman, Hugh Thomas, David G. Wagner, Jason I. Brown

Πηγή: Annals of Combinatorics. 9:259-268

Θεματικοί όροι: Several topologies on one set (change of topology, comparison of topologies, lattices of topologies), roots, polynomial, Exact enumeration problems, generating functions, finite topology, ideal, Algebraic aspects of posets, Polynomials in real and complex fields: location of zeros (algebraic theorems), 0102 computer and information sciences, 01 natural sciences, open set, preorder, poset, 0101 mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/content/pdf/10.1007/s00026-005-0255-5.pdf
https://link.springer.com/article/10.1007%2Fs00026-005-0255-5

On polynomial-like functions

Συγγραφείς: Vladimir Petrov Kostov

Πηγή: Bulletin des Sciences Mathématiques. 129:775-781

Θεματικοί όροι: arrangement, Mathematics(all), Hyperbolic polynomial, hyperbolic polynomial, Hyperbolic polynomial-like function, Polynomials in real and complex fields: location of zeros (algebraic theorems), Arrangement, 0101 mathematics, 01 natural sciences, Real polynomials: location of zeros, hyperbolic polynomial-like function

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2244533
https://doi.org/10.1016/j.bulsci.2005.05.002
https://www.sciencedirect.com/science/article/pii/S0007449705000618
https://core.ac.uk/display/82390967

Generalized Budan–Fourier theorem and virtual roots: Generalized Budan--Fourier theorem and virtual roots

Συγγραφείς: Lajous-LoaezaTomás, RoyMarie-Françoise, LombardiHenri, CosteMichel

Πηγή: Journal of Complexity. 21:479-486

Θεματικοί όροι: Budan-Fourier rule, Statistics and Probability, Numerical Analysis, Real roots, Algebra and Number Theory, Control and Optimization, Applied Mathematics, Fewnomials, Polynomials in real and complex fields: location of zeros (algebraic theorems), 0101 mathematics, Budan–Fourier rule, 01 natural sciences, Virtual roots

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2201761
https://doi.org/10.1016/j.jco.2004.11.003
https://dl.acm.org/doi/10.5555/1108638.1716346

Very hyperbolic polynomials in one variable

Συγγραφείς: Vladimir Petrov Kostov

Πηγή: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 135:833-844

Θεματικοί όροι: hyperbolic polynomials, very hyperbolic polynomials, multiplicity vectors, primitive, Polynomials in real and complex fields: location of zeros (algebraic theorems), Real algebraic and real-analytic geometry, 0101 mathematics, 01 natural sciences, Real polynomials: location of zeros

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2242739
https://doi.org/10.1017/s0308210500004145
https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/very-hyperbolic-polynomials-in-one-variable/1FBF3B50A3DA0FFC7D5AB186C00B2E46

Functional equations involving means and their Gauss composition

Συγγραφείς: Daróczy, Zoltán, Maksa, Gyula, Páles, Zsolt

Πηγή: Proceedings of the American Mathematical Society. 134:521-530

Θεματικοί όροι: Functional equations for real functions, Természettudományok, functional equations, conjugate algebraic numbers, mean values, Iteration theory, iterative and composite equations, Polynomials in real and complex fields: location of zeros (algebraic theorems), Gauss compositions, Matematika- és számítástudományok, 0101 mathematics, 01 natural sciences, Means, transcendental numbers

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://www.ams.org/proc/2006-134-02/S0002-9939-05-08009-3/S0002-9939-05-08009-3.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1463237
https://www.ams.org/proc/2006-134-02/S0002-9939-05-08009-3/S0002-9939-05-08009-3.pdf
https://documat.unirioja.es/servlet/articulo?codigo=1463237
https://www.ams.org/journals/proc/2006-134-02/S0002-9939-05-08009-3/home.html

On the spans of polynomials and their derivatives

Συγγραφείς: Rajesh Pereira

Πηγή: Journal of Mathematical Analysis and Applications. 306:425-431

Θεματικοί όροι: zeros of polynomials, Applied Mathematics, interlacing polynomials, majorization order, Polynomials in real and complex fields: location of zeros (algebraic theorems), Majorization order, Interlacing, Differentiators, 01 natural sciences, Real polynomials: location of zeros, Spans of polynomials, Geometry of polynomials, Real algebraic sets, differentiators, spans of polynomials, 0101 mathematics, Analysis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2189280
https://doi.org/10.1016/j.jmaa.2005.01.010
https://www.sciencedirect.com/science/article/pii/S0022247X05000168
https://core.ac.uk/display/82321402
http://ui.adsabs.harvard.edu/abs/2005JMAA..306..425P/abstract

Algebraic integers whose conjugates all lie in an ellipse

Συγγραφείς: Georges Rhin, V. Flammang

Πηγή: Mathematics of Computation. 74:2007-2016

Θεματικοί όροι: ellipse, integer transfinite diameter, Polynomials in real and complex fields: location of zeros (algebraic theorems), Algebraic number theory computations, algebraic numbers, 0101 mathematics, 01 natural sciences, Algebraic numbers, rings of algebraic integers

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.ams.org/mcom/2005-74-252/S0025-5718-05-01735-7/S0025-5718-05-01735-7.pdf
https://www.ams.org/journals/mcom/2005-74-252/S0025-5718-05-01735-7/home.html
https://ui.adsabs.harvard.edu/abs/2005MaCom..74.2007F/abstract
http://dblp.uni-trier.de/db/journals/moc/moc74.html#FlammangR05
https://www.ams.org/mcom/2005-74-252/S0025-5718-05-01735-7/S0025-5718-05-01735-7.pdf
https://dblp.uni-trier.de/db/journals/moc/moc74.html#FlammangR05

Auxiliary polynomials for some problems regarding Mahler's measure

Συγγραφείς: Michael J. Mossinghoff, Artūras Dubickas

Πηγή: Acta Arithmetica. 119:65-79

Θεματικοί όροι: Mahler's measure, Littlewood polynomials, Weil height, Schinzel-Zassenhaus conjecture, Polynomials in real and complex fields: location of zeros (algebraic theorems), Lehmer's problem, 0101 mathematics, 01 natural sciences, Algebraic numbers, rings of algebraic integers, Polynomials in number theory, Polynomials (irreducibility, etc.)

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.impan.pl/shop/publication/transaction/download/product/83734?download.pdf
https://zbmath.org/2203412
https://doi.org/10.4064/aa119-1-5
http://ui.adsabs.harvard.edu/abs/2005AcAri.119...65D/abstract
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/acta-arithmetica/all/119/1/83734/auxiliary-polynomials-for-some-problems-regarding-mahler-s-measure
https://eudml.org/doc/278496
http://www.mif.vu.lt/~dubickas/files/dvifai/mmos.pdf
http://journals.impan.pl/cgi-bin/doi?aa119-1-5
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-aa119-1-5

A new result on the p-irreducibility of binding polynomials: A new result on the \(p\)-irreducibility of binding polynomials

Συγγραφείς: Lu Yang, Bican Xia

Πηγή: Computers & Mathematics with Applications. 48:1811-1817

Θεματικοί όροι: 0301 basic medicine, Computational Mathematics, 0303 health sciences, 03 medical and health sciences, Computational Theory and Mathematics, Binding polynomials, Modelling and Simulation, \(p\)-irreducibility, Polynomials in real and complex fields: location of zeros (algebraic theorems), Molecular structure (graph-theoretic methods, methods of differential topology, etc.), p-irreducibility, Root-counting, Stability

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2153524
https://doi.org/10.1016/j.camwa.2004.08.007
https://www.sciencedirect.com/science/article/pii/S0898122104004419
https://core.ac.uk/display/155527328

Invariant equations defining coincident root loci

Συγγραφείς: Jaydeep Chipalkatti

Πηγή: Archiv der Mathematik. 83:422-428

Θεματικοί όροι: Combinatorial aspects of partitions of integers, Polynomials in real and complex fields: location of zeros (algebraic theorems), 0101 mathematics, Computational aspects in algebraic geometry, 01 natural sciences, Actions of groups on commutative rings, invariant theory

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1007%2Fs00013-004-1191-z