Integer Polynomials Expressible as Sums of Cubes

Συγγραφείς: Dubickas, Artūras^{Aff1, IDs00009026030943_cor1}, Novikas, Aivaras^Aff1

Πηγή: Mediterranean Journal of Mathematics. 23(3)

A correction to a result of Chinburg and Henriksen on powers of integer polynomials

Συγγραφείς: Zhu, Daniel G.

Πηγή: Acta Arithmetica. 217:189-196

Θεματικοί όροι: Polynomial rings and ideals, rings of integer-valued polynomials, Mathematics - Number Theory, FOS: Mathematics, Waring's problem, Waring's problem and variants, Number Theory (math.NT), 13F20 (Primary) 11C08, 11P05 (Secondary), integer polynomials, Polynomials in number theory

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2402.10121

Counting integer polynomials with several roots of maximal modulus

Συγγραφείς: Dubickas, Artūras, Sha, Min

Πηγή: Acta Arithmetica. 219:275-295

Θεματικοί όροι: roots, Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT), integer polynomials, Algebraic numbers, rings of algebraic integers, maximal modulus, Polynomials in number theory

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2409.08625
https://zbmath.org/8065973
https://doi.org/10.4064/aa240918-12-3

Prime Generating Monic Cubic Polynomials. Discovery of a New Record L = 30

Συγγραφείς: Borghi, Paolo

Θεματικοί όροι: deterministic primality testing, monic cubic polynomials, prime generation, exhaustive search, prime-generating polynomials, prime numbers, run length, mathematical computation, prime search, computational number theory, computational mathematics, prime sequences, Borghi polynomial, consecutive primes, polynomial primes, L = 30, integer polynomials, prime-generating cubic

On Wirsing's Problem in Small Exact Degree: On Wirsing's problem in small exact degree

Συγγραφείς: Schleischitz, Johannes

Πηγή: Moscow Mathematical Journal. 24:461-489

Θεματικοί όροι: Simultaneous homogeneous approximation, linear forms, Mathematics - Number Theory, exponents of Diophantine approximation, irreducibility of integer polynomials, FOS: Mathematics, Wirsing's problem, Number Theory (math.NT), 11J13, 11J82, 11R09, 0101 mathematics, Measures of irrationality and of transcendence, 01 natural sciences, Polynomials (irreducibility, etc.)

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2108.01484
https://zbmath.org/8041724

Polynomial Loop Recognition in Traces

Συγγραφείς: Ketterlin, Alain

Συνεισφορές: Ketterlin, Alain

Θεματικοί όροι: Trace Analysis, [INFO.INFO-CL] Computer Science [cs]/Computation and Language [cs.CL], Profiling, Loop recognition, Integer polynomials

Περιγραφή αρχείου: application/pdf

Σύνδεσμος πρόσβασης: https://inria.hal.science/hal-04922050v1

Polynomial root separation and applications

Συγγραφείς: Tomislav Pejkovic

Συνεισφορές: STAR, ABES

Θεματικοί όροι: Root separation, P-adic numbers, Nombres transcendants, Transcendental numbers, Classification Maher, [MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM], p-adic numbers, Polynômes entiers, Séparation des racines, Koksma's classification, Classification de Koksma, transcendental numbers, Integer polunomials, root separation, integer polynomials, Mahler's classification, Nombres p-adiques

Περιγραφή αρχείου: application/pdf

Σύνδεσμος πρόσβασης: https://www.bib.irb.hr/568452
https://theses.hal.science/tel-00656877v3
http://tel.archives-ouvertes.fr/docs/00/65/70/86/PDF/ThesisTP.pdf

Approximation of a photovoltaic module model using fractional and integral polynomials

Συγγραφείς: Ortiz-Rivera, Eduardo I.

Πηγή: 2012 38th IEEE Photovoltaic Specialists Conference Photovoltaic Specialists Conference (PVSC), 2012 38th IEEE. :002927-002931 Jun, 2012

Relation: 2012 IEEE 38th Photovoltaic Specialists Conference (PVSC)

House of algebraic integers symmetric about the unit circle

Συγγραφείς: Pritsker, Igor E.

Πηγή: In Journal of Number Theory July 2022 236:388-403

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

A divisor problem for polynomials

Συγγραφείς: Klahn, Benjamin

Πηγή: Acta Arithmetica. 200:111-118

Θεματικοί όροι: Mathematics - Number Theory, prime numbers, FOS: Mathematics, Number Theory (math.NT), 11A07, 11C08, 11T06, 0101 mathematics, integer polynomials, cyclotomic polynomials, 01 natural sciences, Polynomials in number theory

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/2202.02100
http://arxiv.org/abs/2202.02100

Heights of polynomials over lemniscates

Συγγραφείς: Pritsker, Igor

Πηγή: Acta Arithmetica. 198:219-231

Θεματικοί όροι: Mathematics - Number Theory, algebraic integers, Mathematics - Complex Variables, heights, lemniscate, Polynomials in real and complex fields: location of zeros (algebraic theorems), 01 natural sciences, PV-numbers and generalizations, other special algebraic numbers, Mahler measure, integer Chebyshev problem, Primary 11R06, 12D10, Secondary 30C10, 30C15, 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), integer transfinite diameter, FOS: Mathematics, Number Theory (math.NT), Complex Variables (math.CV), 0101 mathematics, integer polynomials

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/2101.06708
http://arxiv.org/abs/2101.06708

Structural Record: A Monic Quartic Prime-Generating Polynomial with L = 49

Συγγραφείς: Borghi, Paolo

Θεματικοί όροι: translation method, computational number theory, Euler polynomial, consecutive primes, prime-generating polynomials, monic quartic polynomials, polynomial genealogy, integer polynomials, Borghi Genealogy Theorem

The Genealogy Theorem for Monic Prime‑Generating Polynomials

Συγγραφείς: Borghi, Paolo

Θεματικοί όροι: monic polynomials, genealogy theorem, prime‑generating polynomials, prime-generating polynomials, prime numbers, computational number theory, prime sequences, number theory, translation orbits, canonical form, consecutive primes, prime runs, polynomial translation, polynomial genealogy, integer polynomials, quartic polynomials

Collinear Fractals and Bandt's Conjecture

Συγγραφείς: Espigule, Bernat, Juher, David, Saldaña, Joan

Θεματικοί όροι: Collinear fractals, Bandt's conjecture, Connectedness locus, Iterated function systems, Mandelbrot set, Roots of integer polynomials

Περιγραφή αρχείου: application/pdf

Relation: Agencia Estatal de Investigación PID2023-146424NB-I00; Agència de Gestió d'Ajuts Universitaris i de Recerca 2021/SGR-00113; Fractal and Fractional; Vol. 8, Issue 12 (December 2024), art. 725; https://ddd.uab.cat/record/309368; urn:10.3390/fractalfract8120725; urn:oai:ddd.uab.cat:309368; urn:scopus_id:85213450208; urn:articleid:25043110v8n12p725; urn:gsduab:6079

Διαθεσιμότητα: https://ddd.uab.cat/record/309368

Collinear Fractals and Bandt’s Conjecture

Συγγραφείς: Bernat Espigule, David Juher, Joan Saldaña

Πηγή: Fractal and Fractional, Vol 8, Iss 12, p 725 (2024)

Θεματικοί όροι: collinear fractals, Bandt’s conjecture, connectedness locus, iterated function systems, Mandelbrot set, roots of integer polynomials, Thermodynamics, QC310.15-319, Mathematics, QA1-939, Analysis, QA299.6-433

Relation: https://www.mdpi.com/2504-3110/8/12/725; https://doaj.org/toc/2504-3110; https://doaj.org/article/22b2fd199b3e4c689fca8e6b15817b49

Διαθεσιμότητα: https://doi.org/10.3390/fractalfract8120725
https://doaj.org/article/22b2fd199b3e4c689fca8e6b15817b49

A factor of integer polynomials with minimal integrals

Συγγραφείς: SANNA, Carlo

Πηγή: Journal de Théorie des Nombres de Bordeaux, 2017 Jan 01. 29(2), 637-646.

Σύνδεσμος πρόσβασης: https://www.jstor.org/stable/26274090

Distribution of real algebraic integers

Συγγραφείς: Koleda, Denis V.

Πηγή: In Journal of Number Theory May 2020 210:333-372

Metric theory of diophantine approximation and asymptotic estimates for the number of polynomials with given discriminants divisible by a large power of a prime number

Συγγραφείς: Bernik, Vasiliĭ Ivanovich, Vasil'ev, Denis Vladimirovich, Kalosha, Nikolaĭ Ivanovich, Panteleeva, Zhanna Ivanovna

Θεματικοί όροι: discriminants of integer polynomials, Mahler's problem, Lebesgue measure, degree and height of algebraic number, Metric theory, Diophantine approximation in probabilistic number theory, diophantine approximation

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/7948752

New estimates for the number of integer polynomials with given discriminants

Συγγραφείς: Budarina, Natalia, Bernik, Vasilii, O'Donnell, Hugh

Πηγή: Articles

Θεματικοί όροι: Diophantine approximation, Metric theory, Approximation to algebraic numbers, discriminant of polynomials, 0101 mathematics, integer polynomials, 01 natural sciences, Mathematics

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://arrow.tudublin.ie/cgi/viewcontent.cgi?article=1090&context=ittsciart
https://arrow.tudublin.ie/context/ittsciart/article/1090/viewcontent/New_estimates_for_the_number_of_integer_polynomials_with_given_discriminants.pdf
https://arrow.tudublin.ie/ittsciart/89