La page consacrée à Pham Minh Hoang se trouve sur ce site - mise à jour en juillet 2017.
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See the page on this web site dedicated to Pham Minh Hoang - updated July 2017.
Professor Abbas Bahri Excellence Fellowship for Graduate Research in Mathematics.
New: Interview by Ulf Persson published in the Newsletter of the European Mathematical Society, March 2019, issue 111, p. 23-26.
Archives from January 2009 till now.
May 20 - June 5, 2019: Népal
Népal Algebra Project NAP, module 2.
June 09 - 13, 2019: Moscow.
Conference
"Transcendence and Diophantine Problems",
June 10 - 14, Moscow, 2019. In memory of Professor
Naum Ilyitch Feldman (1918 - 1994).
Lecture on Integer valued entire functions.
June 17 - 23, 2019 : Abha. Saudi Arabia
King Khalid University, Wams school on
Introductory topics in Number Theory and Differential Geometry.
Course: Introduction to Diophantine Equations.
Vendredi 28 juin 2019, Paris.
Assemblée Générale du
CIMPA.
June 30 - July 10, 2019: Turquie
July 1 - 5, 2019:
31th meeting of the
Journées Arithmétiques, Faculty of Science, Istanbul University, Istanbul.
July 6 - 8, 2019:
Friendly workshop on Diophantine Equations and related problems (workshop FWDERP2019), Bursa Uludag University, Bursa.
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].
Third kind elliptic integrals and transcendance (3 pages). Appendix to the paper Third kind elliptic integrals and 1-motives by Cristiana Bertolin. arXiv:1905.07247 [math.NT]
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. Springer Verlag.
Irrationality and transcendence of values of special functions, R. P. Agarwal Memorial Lecture, Proceedings of the XVth Annual Conference of Society for Special Functions and their Applications (ICSFA-2016) New Delhi, India, September 09-11, 2016. Editors: A. K. Agarwal, M. A. Pathan, Subuhi Khan, Ch. Wali Mohd., September 9, 2016).
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
Introduction to Galois Theory
screen pdf: 4,2 Mo, 85 p.
print pdf: 1,1 Mo, 15 p.
update 2019
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 2019
Continued fractions: introduction and applications.
screen pdf: 3.7 Mo, 147 p.
print pdf: 1.1 Mo, 20 p.
update 2019
See also
Continued fractions (unpublished manuscript, 46 pages).
The unity of mathematics - examples from transcendental number theory.
pdf file, screen version: 4.1 Mo, 147p.
pdf file, print version: 1.4 Mo, 20p.
update 2018
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
On the Landau--Ramanujan constant
pdf file, screen version: 3.4 Mo, 130 p.
pdf file, print version: 1.1 Mo, 18 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
Linear recurrence sequences: an introduction.
screen pdf 5.1 Mo, 139p.
print pdf 2.7 Mo, 23p.
update 2018
Linear recurrence sequences, exponential polynomials and Diophantine approximation.
screen pdf 2.2 Mo, 150p.
print pdf 1.2 Mo, 20p.
update 2017
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
On the Brahmagupta-Fermat-Pell Equation.
screen pdf: 3.3 Mo, 196 p.
print pdf: 3.3 Mo, 21 p.
update 2017
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
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
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
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
Diophantine equations and Diophantine approximation
screen pdf: 1.3 Mo, 96 p.
print pdf: 1.3 Mo, 16 p.
update 2012
En français
Les débuts de la théorie des nombres transcendants.
fichier pdf, version écran: 4,2 Mo, 52 pages
fichier pdf, version à imprimer: 3,2 Mo, 11 pages
mise à jour 2019
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