Dessin par Hélène
Michel Waldschmidt

La page consacrée à Pham Minh Hoang se trouve sur ce site - mise à jour en juillet 2017. /
See the page on this web site dedicated to Pham Minh Hoang - updated July 2017.

    "Le savoir est la seule matière qui s'accroit lorsqu'on la partage" (Socrate).
    "Le savoir est l’unique fortune qu’on peut donner entièrement sans en rien la diminuer". Amadou Hampâthé Bâ, écrivain et ethnologue malien (cité par Cédric Villani)

Agenda

Archives from January 2009 till now.

Prochaînement - Coming soon

August 1 - 9, 2018: Rio de Janeiro (Brazil)
    International Congress of Mathematicians (ICM 2018), I Rio Centro Convention Center Sulamerica, Maracanazinho.

24 - 26 août 2018: Grenoble
    UT4M.

August 30 - September 5, 2018: Sanmenxia, Henan, China.
    international conference ``EVs in Green Grid: Many a little makes a miracle’’ Suda Neu-Tech Institute
    Lecture on A basic introduction to some tools from complex analysis.

Lundi 10 - vendredi 14 Septembre 2018. CIRM, Luminy, France
    Approximation diophantienne et transcendance.

October 1 - 13, 2018. New Delhi, Allahabad (India)
    October 2 - 7: Indian Statistical Institute (ISI) et Jawaharlal Nehru University (JNU), Delhi.
    October 8 - 11: Harish-Chandra Research Institute (HRI), Allahabad. International conference on class groups of number fields and related topics ICCGNFRT 2018.

October 31 - November 4, 2018: Vientiane (Laos)
    The 11th International Conference on Mathematics and Mathematics Education in Developing Countries

November 20 - December 15, 2018: India
    November 22 - 24: 17th Annual Meeting of SSFA - International Conference on Special Functions & Applications (ICSFA-2018),
       Amal Jyothi College on Engineering, Kanjirapalli, Kottayam (Kerala).
    November 30 - December 5: Number Theory Meeting, National Institute of Science Education and Research (NISER), Bhubaneswar
    December 6 - 9, 2018. Indian Institute of Science Education and Research (IISER) Berhampur
    December 10 - 14, 2018. Department of Mathematics, Ramakrishna Mission Vivekananda University (RKMVU), Belur Math, Howrah, Kolkata (India).

Survey paper (submitted) - Exposé de synthèse (soumis)

Thue Diophantine equations - a survey.
    Proceedings of the International Conference on Class Groups of Number Fields and Related Topics (ICCGNFRT-2017), HRI Allahabad, September 2017, 14 p.

Research papers (recently published) - Articles de recherche (viennent de paraître)

With Etienne Fouvry and Claude Levesque,
    Representation of integers by cyclotomic binary forms. Acta Arithmetica, 184.1 (2018), 67 - 86. Online First March 2018.
    arXiv: 712.09019 [math.NT].
    Online Encyclopedia of Integer Sequences:
       OEIS A296095 Integers represented by cyclotomic binary forms.
       OEIS A293654 Integers not represented by cyclotomic binary forms.
       OEIS A299214 Number of representations of integers by cyclotomic binary forms.
       OEIS A301429 Decimal expansion of an analog of the Landau-Ramanujan constant for Loeschian numbers.
       OEIS A301430 Decimal expansion of an analog of the Landau-Ramanujan constant for Loeschian numbers which are sums of two squares.

With Claude Levesque,
    Families of Thue equations associated with a rank one subgroup of the unit group of a number field. Mathematika, 63 3 (2017) 1060-1080. available online.
    arXiv: 1701.01230 [math.NT].

With Damien Roy,
    Parametric geometry of numbers in function fields. Mathematika, 63 3 (2017) 1114-1135. available online.
    arXiv: 1704.00291 [math.NT].

With Claude Levesque,
    Solving simultaneously Thue equations in the almost totally imaginary case.
    Proceedings of the International Meeting on Number Theory HRI 2011, in honor of R. Balasubramanian, Ramanujan Mathematical Society, Lecture Notes Series Number 23, Highly composite: papers in number theory, ed. V. Kumar Murty and R. Thangadurai (2016), 137-156.
    arXiv: 1505.06653 [math.NT].

With Claude Levesque,
    Linear recurrence sequences and twisted binary forms.
    Proceedings of the International Conference on Pure and Applied Mathematics ICPAM–GOROKA 2014,
    South Pacific Journal of Pure and Applied Mathematics, vol. 2, No 3 (2015), 65-83.
    arXiv:1802.05154 [math.NT].

Recent surveys - articles de synthèse récents

With Razvan Barbulescu. Poster summarizing The abc conjecture and some of its consequences. Archives HAL.

Irrationality and transcendence of values of special functions, Proceedings of the XVth Annual Conference of Society for Special Functions and their Applications (R. P. Agarwal Memorial Lecture, ICSFA-2016, September 9, 2016).

Les huit premiers travaux de Pierre Liardet. Number Theory, Numeration Systems, Ergodic Theory, A Conference inspired by the mathematics of Pierre Liardet, 28-29 Sep. 2015, Le Bourget du Lac (France). Uniform Distribution Theory (UDT) 11 no. 2 (2016) 169--177.

Three courses on algebraic independence of periods of elliptic curves. Winter School on modular functions in one and several variables, Goa University, December 2014. From notes by R. Thangadurai. 18 pages. Updated March 8, 2016.

Lectures - Courses - Conferences

Les fichiers pdf ou ppt de mes exposés récents ou plus anciens sont téléchargeables.
You can download the pdf or ppt files of my recent or not so recent lectures and talks.

In English

Representation of integers by cyclotomic binary forms.
        pdf file, screen version: 2.4 Mo, 92 p.     pdf file, print version: 721 Ko, 12 p.
        update 2018
  See also
        Generalization of the Landau--Ramanujan constant for sums of two squares to other binary forms
        pdf file, screen version: 2.2 Mo, 79 p.     pdf file, print version: 791 Ko, 12 p.
        update 2018

An elementary introduction to error correcting codes.
        powerpoint file (161 p., 4.3 Mo)   pdf file (44 p., 5.5 Mo).
        update 2018

An elementary introduction to cryptography.
        powerpoint file (95 p., 3.6 Mo)   pdf file (24 p., 6.2 Mo).
        update 2018

Is the Euler constant a rational number, an algebraic irrational number or else a transcendental number?
        pdf file, screen version: 3.4 Mo, 126 p.     pdf file, print version: 1.3 Mo, 22 p.
        update 2017

Transcendental Number Theory: recent results and open problems.
        screen pdf 3.3 Mo, 193p.   print pdf 1.7 Mo, 24p.
        update 2017

Some of the most famous open problems in number theory.
        screen pdf: 5.8 Mo, 214 p.     print pdf: 1.8 Mo, 28 p.
        update 2017

Linear recurrence sequences: an introduction.
        screen pdf 3.5 Mo, 135p.   print pdf 2.7 Mo, 22p.
        update 2017

Linear recurrence sequences, exponential polynomials and Diophantine approximation.
        screen pdf 2.2 Mo, 150p.   print pdf 1.2 Mo, 20p.
        update 2017

On the Brahmagupta-Fermat-Pell Equation.
        screen pdf: 3.3 Mo, 196 p.   print pdf: 3.3 Mo, 21 p.
        update 2017

Irrationality and transcendence of values of special functions.
        screen pdf 10.6 Mo, 185p.   print pdf 9.3 Mo, 25p.
        update 2016

Two invariants related to two conjectures due to Nagata.
        screen pdf 10.4 Mo, 170p.   print pdf 10.4 Mo, 26p.
        update 2016

Continued fractions: introduction and applications.
        screen pdf: 3.7 Mo, 145 p.     print pdf: 3.7 Mo, 20 p.
        update 2016
  See also
        Continued fractions (unpublished manuscript, 46 pages).

On the abc conjecture and some of its consequences.
        screen pdf: 5.5 Mo, 195 p.     print pdf: 2.1 Mo, 30 p.
        update 2017

On the Markoff equation x^2+y^2+z^2=3xyz;
        screen pdf 4.6 Mo, 171 p.   print pdf 4.8 Mo, 22 p.
        update 2016

Diophantine equations and Diophantine approximations
        screen pdf: 3.2 Mo, 161 p.     print pdf: 1.9 Mo, 23 p.
        update 2016
  See also
Families of Diophantine equations.
        screen pdf 1.9 Mo, 99p.   print pdf 1.3 Mo, 15p.
        update 2016

Diophantine approximation with applications to dynamical systems.
        screen pdf: 1.2 Mo, 119 p.     print pdf: 1.2 Mo, 14 p.
        update 2016

Diophantine equations and Diophantine approximation
        screen pdf: 1.3 Mo, 96 p.     print pdf: 1.3 Mo, 16 p.
        update 2012

Multiple zeta values.
        screen pdf: 2.3 Mo, 151 p.     print pdf: 2.3 Mo, 19 p.
        update 2014

Schanuel's Conjecture: algebraic independence of transcendental numbers.
        screen pdf: 21.7 Mo, 127 p.     print pdf: 21.7 Mo, 17 p.
        update 2014

En français

Introduction à la cryptographie.
        fichier powerpoint, 3,4 Mo, 89 pages   fichier pdf, version à imprimer, 6,2 Mo, 23 pages.
        mise à jour 2018

introduction aux codes correcteurs d’erreurs
        fichier ppt, 4 Mo, 164 p.   fichier pdf, version à imprimer: 5,9 Mo, 41p.
        mise à jour 2018

L'équation de Brahmagupta - Pell - Fermat.
        fichier pdf, version écran: 3,3 Mo, 193 p.   fichier pdf, version à imprimer: 3,3 Mo, 21 p.
        mise à jour 2017

Sur l’équation de Markoff x^2+y^2+z^2=3xyz.
        fichier pdf, version écran 4,9 Mo, 221 p.   fichier pdf, version à imprimer 5 Mo, 27 p.
        mise à jour 2016

La conjecture abc
        fichier pdf, version écran 19,4 Mo, 152 p.   fichier pdf, version à imprimer 19,6 Mo, 25 p.
        mise à jour 2016

Fractions continues, introduction et applications
        fichier pdf, version écran: 3,7 Mo, 145 p.     fichier pdf, version à imprimer: 3,7 Mo, 20 p.
        mise à jour 2016

Problèmes ouverts en théorie des nombres.
        fichier pdf, version écran: 4,4 Mo, 203 p.     fichier pdf, version à imprimer: 4,4 Mo, 27 p.
        mise à jour 2015

La constante d'Euler est-elle un nombre rationnel, un nombre algébrique irrationnel ou bien un nombre transcendant?
        fichier pdf, version écran: 4,5 Mo, 128 p.     fichier pdf, version à imprimer: 4,5 Mo, 22 p.
        mise à jour 2014

Nombres transcendants: résultats récents et problèmes ouverts
        fichier pdf, version écran 4,4 Mo, 142 p.   fichier pdf, version à imprimer 3,9 Mo, 15 p.
        mise à jour 2009

Valeurs zêta multiples, d'Euler à nos jours.
        pdf file, screen version 2,2 Mo, 236 p.   pdf file, print version 1,1 Mo, 26 p.
        mise à jour 2008