Suchergebnisse - Classificació AMS::11 Number theory::11J Diophantine approximation

On the closedness of approximation spectra

Autoren: Parkkonen, Jouni Paulin, Frédéric University of Jyväskylä (JYU) et al.

Weitere Verfasser: Parkkonen, Jouni Paulin, Frédéric University of Jyväskylä (JYU) et al.

Quelle: J. Th. Nb. Bordeaux ; https://hal.science/hal-00628352 ; J. Th. Nb. Bordeaux, 2009, 21, pp.701-710

Schlagwörter: geodesic flow, negative curvature, Lagrange spectrum, Diophantine approximation, quaternions, Heisenberg group, AMS: 53 C 22, 11 J 06, [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT], [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/0806.0304; ARXIV: 0806.0304

Verfügbarkeit: https://hal.science/hal-00628352

Spiraling spectra of geodesic lines in negatively curved manifolds

Autoren: Parkkonen, Jouni Paulin, Frédéric University of Jyväskylä (JYU) et al.

Weitere Verfasser: Parkkonen, Jouni Paulin, Frédéric University of Jyväskylä (JYU) et al.

Quelle: ISSN: 0025-5874.

Schlagwörter: quadratic irrational, geodesic flow, negative curvature, spiraling, Dirichlet theorem, Hall ray, Diophantine approximation, AMS : 53 C 22, 11 J 06, 30 F 40, 11 J 83, [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG], [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT], [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/0806.1857; ARXIV: 0806.1857

Verfügbarkeit: https://hal.science/hal-00628350
https://doi.org/10.1007/s00209-010-0662-0

Correlation Among Runners and Some Results on the Lonely Runner Conjecture

Autoren: Perarnau Llobet, Guillem Serra Albó, Oriol Universitat Politècnica de Catalunya. Departament de Matemàtiques et al.

Weitere Verfasser: Perarnau Llobet, Guillem Serra Albó, Oriol Universitat Politècnica de Catalunya. Departament de Matemàtiques et al.

Quelle: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname

Schlagwörter: Nombres transcendents, Mathematics - Number Theory, Lonely Runner Conjecture, Diophantine equations, Classificació AMS::11 Number theory::11B Sequences and sets, Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica, Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics [Àrees temàtiques de la UPC], Sequences (Mathematics), 11 Number theory::11J Diophantine approximation, transcendental number theory [Classificació AMS], 0102 computer and information sciences, 01 natural sciences, Classificació AMS::11 Number theory::11J Diophantine approximation, Matemàtiques i estadística::Anàlisi numèrica [Àrees temàtiques de la UPC], 3. Good health, Successions (Matemàtica), FOS: Mathematics, Mathematics - Combinatorics, 11 Number theory::11B Sequences and sets [Classificació AMS], Combinatorics (math.CO), Number Theory (math.NT), transcendental number theory, 0101 mathematics, Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics, Classificació AMS::11 Number theory::11J Diophantine approximation, transcendental number theory

Dateibeschreibung: application/pdf

Zugangs-URL: https://www.combinatorics.org/ojs/index.php/eljc/article/download/v23i1p50/pdf
http://arxiv.org/abs/1407.3381
https://hdl.handle.net/2117/101787
http://hdl.handle.net/2117/101787
https://upcommons.upc.edu/bitstream/2117/101787/2/16_02_15_lonely_EJC.pdf
https://upcommons.upc.edu/handle/2117/101787
https://www.emis.de/journals/EJC/ojs/index.php/eljc/article/view/v23i1p50/pdf
https://dblp.uni-trier.de/db/journals/combinatorics/combinatorics23.html#PerarnauS16

Contribution of Jonas Kubilius to the metric theory of Diophantine approximation of dependent variables

Autoren: Victor V. Beresnevich Vasily I. Bernik Friedrich Götze et al.

Quelle: Журнал Белорусского государственного университета: Математика, информатика, Iss 3, Pp 34-50 (2021)

Schlagwörter: j. kubilius, diophantine approximation, mahler’s conjecture, metric number theory, transcendence and algebraic numbers, Mathematics, QA1-939

Relation: https://journals.bsu.by/index.php/mathematics/article/view/4211; https://doaj.org/toc/2520-6508; https://doaj.org/toc/2617-3956; https://doaj.org/article/4e4a28bc08f0416b92585c3ac4d4ab51

Verfügbarkeit: https://doi.org/10.33581/2520-6508-2021-3-34-50
https://doaj.org/article/4e4a28bc08f0416b92585c3ac4d4ab51

Logarithm laws for equilibrium states in negative curvature

Autoren: Paulin, Frédéric Pollicott, Mark Laboratoire de Mathématiques d'Orsay (LMO) et al.

Weitere Verfasser: Paulin, Frédéric Pollicott, Mark Laboratoire de Mathématiques d'Orsay (LMO) et al.

Quelle: https://hal.science/hal-00988681 ; 2014.

Schlagwörter: quadratic irrational, Diophantine approximation, Hausdorff dimension, pressure, Gibbs measure, equilibrium states, logarithm law, Khintchine theorem, spiraling, negative curvature, geodesic flow, AMS codes: 37D35, 53D25, 37D40, 53C22, 37A25, 37A45, 11J83, 28D20, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG], [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/1405.2320; ARXIV: 1405.2320

Verfügbarkeit: https://hal.science/hal-00988681
https://hal.science/hal-00988681v1/document
https://hal.science/hal-00988681v1/file/spiralgibbs.pdf

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 ; Метрическая теория диофантовых приближений и асимптотические оценки для количества многочленов с заданными дискриминантами, делящимися на большую степень простого числа

Autoren: V. I. Bernik D. V. Vasilyev N. I. Kalosha et al.

Quelle: Doklady of the National Academy of Sciences of Belarus; Том 67, № 4 (2023); 271-278 ; Доклады Национальной академии наук Беларуси; Том 67, № 4 (2023); 271-278 ; 2524-2431 ; 1561-8323 ; 10.29235/1561-8323-2023-67-4

Schlagwörter: проблема Малера, diophantine approximation, Lebesgue measure, degree and height of an algebraic number, Mahler’s problem, диофантовы приближения, мера Лебега, степень и высота алгебраического числа

Dateibeschreibung: application/pdf

Relation: https://doklady.belnauka.by/jour/article/view/1137/1137; Спринджук, В. Г. Проблема Малера в метрической теории чисел / В. Г. Спринджук. – Минск, 1967. – 181 c.; Metric Diophantine approximation: the Khintchine–Groshev theorem for nondegenerate manifolds / V. V. Beresnevich [et al.] // Mosc. Math. J. – 2002. – Vol. 2, N 2. – P. 203–225. https://doi.org/10.17323/1609-4514-2002-2-2-203-225; Бударина, Н. В. Метрическая теория совместных диофантовых приближений в klm   × × p / Н. В. Бударина // Чебышевский сб. – 2011. – Т. 12, № 1. – С. 17–50.; Kleinbock, D. Y. Flows on Homogeneous Spaces and Diophantine Approximation on Manifolds / D. Y. Kleinbock, G. A. Margulis // Annals of Mathematics. – 1998. – Vol. 148, N 1. – P. 339–360. https://doi.org/10.2307/120997; Берник, В. И. Метрическая теорема о совместном приближении нуля значениями целочисленных многочленов / В. И. Берник // Изв. АН СССР, сер. математ. – 1980. – Т. 44, № 1. – С. 24–45.; Спринджук, В. Г. Достижения и проблемы теории диофантовых приближений / В. Г. Спринджук // Успехи мат. наук. – 1980. – Т. 35, № 4. – С. 3–68.; Вклад Йонаса Кубилюса в метрическую теорию диофантовых приближений зависимых переменных / В. В. Бересневич [и др.] // Журн. БГУ. Математика. Информатика. – 2021. – № 3. – С. 34–50.; Khintchine, A. Einige Sätze über Kettenbrüche, mit Anwendungen auf die Theorie der Diophantischen Approximationen / A. Khintchine // Mathematische Annalen. – 1924. – Vol. 92, N 1–2. – P. 115–125. https://doi.org/10.1007/bf01448437; Bernik, V. I. The exact order of approximating zero by values of integral polynomials / V. I. Bernik // Acta Arith. – 1989. – Vol. 53, N 1. – P. 17–28.; Beresnevich, V. On approximation of real numbers by real algebraic numbers / V. Beresnevich // Acta Arith. – 1999. – Vol. 90, N 2. – P. 97–112. https://doi.org/10.4064/aa-90-2-97-112; Берник, В. И. Теорема Хинчиновского типа для целочисленных полиномов от комплексной переменной / В. И. Берник, Д.В. Васильев // Тр. Ин-та математики. – 1999. – № 3. – С. 10–20.; Beresnevich, V. V. On approximation of p-adic numbers by p-adic algebraic numbers / V. V. Beresnevich, V. I. Bernik, E. I. Kovalevskaya // J. Number Theory. – 2005. – Vol. 111, N 1. – P. 33–56. https://doi.org/10.1016/j.jnt.2004.09.007; Берник, В. И. Применение размерности Хаусдорфа в теории диофантовых приближений / В. И. Берник // Acta Arith. – 1983. – Vol. 42, N 3. – P. 219–253.; Берник, В. И. Приближение нуля значениями целочисленных полиномов в пространстве    × × p / В. И. Берник, Н. И. Калоша // Вес. Нац. акад. навук Беларусi. Сер. физ.-мат. навук. – 2004. – № 1. – С. 121–123.; Bernik, V. I. Metric Diophantine approximation on manifolds / V. I. Bernik, M. M. Dodson // Cambridge Tracts in Mathematics. – 1999. – N 137. – 172 p. https://doi.org/10.1017/cbo9780511565991; https://doklady.belnauka.by/jour/article/view/1137

Verfügbarkeit: https://doklady.belnauka.by/jour/article/view/1137
https://doi.org/10.29235/1561-8323-2023-67-4-271-278

Diophantine Approximation : Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, June 28 – July 6, 2000

Autoren: David Masser Yuri V. Nesterenko Hans Peter Schlickewei et al.

Resource Type: eBook.

Schlagworte: Number theory

Categories: MATHEMATICS / Number Theory

Diophantine Approximation

Autoren: W.M. Schmidt

Resource Type: eBook.

Schlagworte: Algebraic number theory, Diophantine approximation

Categories: MATHEMATICS / Number Theory, MATHEMATICS / Discrete Mathematics

On solutions of the Diophantine equation L n + L m = 3 a

Autoren: Tiebekabe, Pagdame Diouf, Ismaïla Université Cheikh Anta Diop Dakar, Sénégal (UCAD)

Weitere Verfasser: Tiebekabe, Pagdame Diouf, Ismaïla Université Cheikh Anta Diop Dakar, Sénégal (UCAD)

Quelle: https://hal.archives-ouvertes.fr/hal-03243010 ; 2021.

Schlagwörter: AMS Subject Classifications: 11B39, 11J86 Linear forms in logarithm, Diophantine equations, Fibonacci sequence, Lucas sequence, perfect powers, [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]

Relation: hal-03243010; https://hal.archives-ouvertes.fr/hal-03243010; https://hal.archives-ouvertes.fr/hal-03243010/document; https://hal.archives-ouvertes.fr/hal-03243010/file/MJM-Template_New.pdf

Verfügbarkeit: https://hal.archives-ouvertes.fr/hal-03243010
https://hal.archives-ouvertes.fr/hal-03243010/document
https://hal.archives-ouvertes.fr/hal-03243010/file/MJM-Template_New.pdf

Diophantine Approximation

Autoren: Robert F. Tichy Hans Peter Schlickewei Klaus Schmidt

Resource Type: eBook.

Schlagworte: Diophantine approximation--Congresses

Categories: MATHEMATICS / Algebra / General, MATHEMATICS / Number Theory, MATHEMATICS / Numerical Analysis

Genus two curves with quaternionic multiplication and modular Jacobian

Autoren: González i Rovira, Josep Guàrdia Rubies, Jordi Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV et al.

Weitere Verfasser: González i Rovira, Josep Guàrdia Rubies, Jordi Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV et al.

Quelle: Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Schlagwörter: Quaternionic multiplication, Mathematics - Number Theory, Modular curves, Classificació AMS::11 Number theory::11G Arithmetic algebraic geometry (Diophantine geometry), 01 natural sciences, Classificació AMS::14 Algebraic geometry::14H Curves, Varietats abelianes, Mathematics - Algebraic Geometry, 14 Algebraic geometry::14H Curves [Classificació AMS], Abelian varieties, Corbes modulars, 11 Number theory::11G Arithmetic algebraic geometry (Diophantine geometry) [Classificació AMS], Genus two curves, FOS: Mathematics, Number Theory (math.NT), Quaternions, 0101 mathematics, Modular abelian surfaces, Algebraic Geometry (math.AG), 11G10, 11G18

Dateibeschreibung: application/pdf

Zugangs-URL: https://www.ams.org/mcom/2009-78-265/S0025-5718-08-02165-0/S0025-5718-08-02165-0.pdf
http://arxiv.org/abs/0805.1302
http://hdl.handle.net/2117/1958
https://hdl.handle.net/2117/1958
https://upcommons.upc.edu/handle/2117/1958
https://ui.adsabs.harvard.edu/abs/2009MaCom..78..575G/abstract
https://upcommons.upc.edu/bitstream/2117/1958/1/gonzalez-guardia.pdf
https://www.ams.org/journals/mcom/2009-78-265/S0025-5718-08-02165-0/home.html
https://dblp.uni-trier.de/db/journals/moc/moc78.html#GonzalezG09
https://arxiv.org/abs/0805.1302
https://arxiv.org/pdf/0805.1302.pdf
https://128.84.21.199/abs/0805.1302

Diophantine Analysis : Proceedings at the Number Theory Section of the 1985 Australian Mathematical Society Convention

Autoren: J. H. Loxton A. J. van Poorten

Resource Type: eBook.

Schlagworte: Diophantine approximation--Congresses, Diophantine analysis--Congresses, Mathematics--Congresses

Categories: MATHEMATICS / Number Theory

Alexander Gorodnik - Diophantine approximation and flows on homogeneous spaces (Part 3) ; Alexander Gorodnik - Diophantine approximation and flows on homogeneous spaces (Part 3) : Summer School 2013 - Number theory and dynamics ; : École d’été 2013 - Théorie des nombres et dynamique

Autoren: Gorodnik, Alexander Bastien, Fanny Beaumont, Vanille et al.

Weitere Verfasser: Gorodnik, Alexander Bastien, Fanny Beaumont, Vanille et al.

Quelle: https://hal.science/medihal-01319807 ; 2013.

Schlagwörter: summer school 2013, number theory, dynamics, diophantine approximation, flows, homogeneous spaces, eem2013, école d’été 2013, grenoble, théorie des nombres, dynamique, [MATH]Mathematics [math]

Verfügbarkeit: https://hal.science/medihal-01319807
https://hal.science/medihal-01319807v1/document
https://hal.science/medihal-01319807v1/file/jeudi27juin_matin1.mp4

Alexander Gorodnik - Diophantine approximation and flows on homogeneous spaces (Part 1) ; Alexander Gorodnik - Diophantine approximation and flows on homogeneous spaces (Part 1) : Summer School 2013 - Number theory and dynamics ; : École d’été 2013 - Théorie des nombres et dynamique

Autoren: Gorodnik, Alexander Bastien, Fanny Beaumont, Vanille et al.

Weitere Verfasser: Gorodnik, Alexander Bastien, Fanny Beaumont, Vanille et al.

Quelle: https://hal.science/medihal-01319797 ; 2013.

Schlagwörter: summer school 2013, number theory, dynamics, diophantine approximation, flows, homogeneous spaces, eem2013, école d’été 2013, grenoble, théorie des nombres, dynamique, [MATH]Mathematics [math]

Verfügbarkeit: https://hal.science/medihal-01319797
https://hal.science/medihal-01319797v1/document
https://hal.science/medihal-01319797v1/file/lundi24juin_matin1.mp4

Alexander Gorodnik - Diophantine approximation and flows on homogeneous spaces (Part 2) ; Alexander Gorodnik - Diophantine approximation and flows on homogeneous spaces (Part 2): Summer School 2013 - Number theory and dynamics ; : École d’été 2013 - Théorie des nombres et dynamique

Autoren: Gorodnik, Alexander Bastien, Fanny Beaumont, Vanille et al.

Weitere Verfasser: Gorodnik, Alexander Bastien, Fanny Beaumont, Vanille et al.

Quelle: https://hal.science/medihal-01319804 ; 2013.

Schlagwörter: summer school 2013, number theory, dynamics, diophantine approximation, flows, homogeneous spaces, eem2013, école d’été 2013, grenoble, théorie des nombres, dynamique, [MATH]Mathematics [math]

Verfügbarkeit: https://hal.science/medihal-01319804
https://hal.science/medihal-01319804v1/document
https://hal.science/medihal-01319804v1/file/mercredi26juin_aprem1.mp4

How to Solve a Diophantine Equation: A Number-Theoretic Excursion

Autoren: Stroeker, R. J.

Quelle: The American Mathematical Monthly, 1984 Aug 01. 91(7), 385-392.

Zugangs-URL: https://www.jstor.org/stable/2322983

Logarithm laws for strong unstable foliations in negative curvature and non-Archimedian Diophantine approximation

Autoren: Athreya, Jayadev, S. Paulin, Frédéric Department of Mathematics Urbana et al.

Weitere Verfasser: Athreya, Jayadev, S. Paulin, Frédéric Department of Mathematics Urbana et al.

Quelle: https://hal.science/hal-00699060 ; 2012.

Schlagwörter: negative curvature, geodesic flow, horocyclic flow, strong unstable foliation, cusp excursions, logarithm law, Diophantine approximation, continued fraction, approximation exponent, 37D40, 53D25, 11J61, 11J70, 20E08, 20G25, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG], [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT], [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/1205.4515; ARXIV: 1205.4515

Verfügbarkeit: https://hal.science/hal-00699060
https://hal.science/hal-00699060v1/document
https://hal.science/hal-00699060v1/file/Himalaya.pdf

Hilbert modular forms and the theory of complex multiplication

Autoren: Rodríguez Manso, Jordi Guillem Darmon, Henri Rotger Cerdà, Víctor et al.

Weitere Verfasser: Rodríguez Manso, Jordi Guillem Darmon, Henri Rotger Cerdà, Víctor et al.

Quelle: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Schlagwörter: Automorphic forms, Àrees temàtiques de la UPC::Matemàtiques i estadística, real quadratic fields, Matemàtiques i estadística [Àrees temàtiques de la UPC], modular forms, Classificació AMS::11 Number theory::11F Discontinuous groups and automorphic forms, Teoria algebraica de, Classificació AMS::11 Number theory::11G Arithmetic algebraic geometry (Diophantine geometry), Nombres, Algebraic number theory, complex multiplication, Formes automòrfiques, ideal class group, Nombres, Teoria algebraica de, 11 Number theory::11G Arithmetic algebraic geometry (Diophantine geometry) [Classificació AMS], orthogonal groups, 11 Number theory::11F Discontinuous groups and automorphic forms [Classificació AMS]

Dateibeschreibung: application/pdf; text/plain

Zugangs-URL: http://hdl.handle.net/2117/372575
https://hdl.handle.net/2117/372575

Arithmetical and geometrical aspects of homogeneous diophantine approximation by algebraic numbers in a given number field

Autoren: Maucourant, François Institut de Recherche Mathématique de Rennes (IRMAR) Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes) et al.

Weitere Verfasser: Maucourant, François Institut de Recherche Mathématique de Rennes (IRMAR) Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes) et al.

Quelle: Dynamical Systems and Diophantine Approximation ; https://hal.science/hal-00567719 ; Yann Bugeaud, Françoise Dal'Bo, Cornelia Druțu. Dynamical Systems and Diophantine Approximation, Société mathématique de France, pp.37-48, 2009, Séminaires et congrès n° 19, 978-285629-303-4

Schlagwörter: Arithmetical and geometrical aspects of homogeneous Diophantine approximation by algebraic numbers in a given number field, 11J06, 11J17, 37A17, [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]

Verfügbarkeit: https://hal.science/hal-00567719

On the number of L-shapes in embedding dimension four numerical semigroups

Autoren: F. Aguiló-Gost P.A. García-Sánchez D. Llena et al.

Weitere Verfasser: F. Aguiló-Gost P.A. García-Sánchez D. Llena et al.

Quelle: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname

Schlagwörter: Combinatorial analysis, LOOP NETWORKS, Teoria de, Grafs, Teoria de, Combinatòria, Classificació AMS::05 Combinatorics::05C Graph theory, Classificació AMS::11 Number theory::11D Diophantine equations, Matemàtiques i estadística::Matemàtica discreta::Combinatòria [Àrees temàtiques de la UPC], 0102 computer and information sciences, 02 engineering and technology, L-shape, 01 natural sciences, Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Teoria de grafs, Graph theory, 11 Number theory::11D Diophantine equations [Classificació AMS], Grafs, Numerical semigroup, Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Combinatòria, 0202 electrical engineering, electronic engineering, information engineering, Factorization, 05 Combinatorics::05C Graph theory [Classificació AMS], Weighted Cayley digraph, Matemàtiques i estadística::Matemàtica discreta::Teoria de grafs [Àrees temàtiques de la UPC]

Dateibeschreibung: application/pdf

Zugangs-URL: http://hdl.handle.net/2117/80110
https://www.sciencedirect.com/science/article/pii/S0012365X15001922
https://dblp.uni-trier.de/db/journals/dm/dm338.html#Aguilo-GostGL15
https://upcommons.upc.edu/bitstream/2117/80110/1/vertices-L-shapes-final.pdf
https://core.ac.uk/display/41822597
http://www.sciencedirect.com/science/article/pii/S0012365X15001922
https://upcommons.upc.edu/handle/2117/80110