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.
Archives from January 2009 till now.
October 12-15, 2017: Marina di San Gregorio, Lecce (Italie)
Analysis and Dynamics.
Conference in occasion of
Luigi Chierchia's 60' Birthday.
November 6, 2017: Science Faculty,
Mahidol University,
Bangkok (Thailand)
Lecture on Representation of positive integers by binary cyclotomic forms.
November 10-12, 2017: Mandalay (Myanmar)
The Tenth International Conference on Science and Mathematics Education in Developing Countries.
Plenary lecture on Linear recurrence sequences: an introduction.
November 20 - December 7 and December 11 - 20:
School of Mathematics, Tata Institute of Fundamental Research, Mumbai (India)
Lecture on Elliptic integrals of the third kind.
December 1, 2017.
Sardar Vallabhbhai National Institute of Technology (SVNIT), Surat.
Lecture on Euler constant.
November 7, 2017.
Ramakrishna Mission Vivekananda University, Belur Math, Howrah, Kolkata (India).
Lecture on Representation of integers by binary cyclotomic forms.
December 8-10, 2017: Dhaka (Bangladesh)
the
20th international Mathematics Conference 2017 (Department of Mathematics, University of Dhaka)
under the slogan
Bridging South Asian Mathematicians.
Lecture on Some of the most famous open problems in number theory.
With
Claude Levesque,
Families of Thue equations associated with a rank one subgroup of the unit group of a number field.
23 pages. Mathematika, to appear.
arXiv: 1701.01230 [math.NT].
With
Damien Roy,
Parametric geometry of numbers in function fields. 20 pages. Mathematika, to appear.
arXiv: 1704.00291 [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.
To appear in the
South Pacific Journal of Pure and Applied Mathematics.
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,
Familles d’équations de Thue associées à un sous-groupe de rang 1 d'unités totalement réelles d'un corps de nombres.
in
SCHOLAR — a Scientific Celebration Highlighting Open Lines of Arithmetic Research,
dedicated to Ram Murty,
CRM collection "Contemporary Mathematics", AMS, 655 (2015) 117-134.
arXiv: 1505.06656 [math.NT].
With
Claude Levesque,
A family of Thue equations involving powers of units of the simplest cubic fields.
Journal de théorie des nombres de Bordeaux, 27 (2015), no. 2, 537-563.
Unpublished expanded version 31p.
arXiv:1505.06708 [math.NT].
With K. Senthil Kumar and R. Thangadurai,
Liouville numbers, Liouville sets and Liouville fields.
Proceedings of the American Mathematical Society, 143 8 (2015),
3215-3229.
arXiv:1312.7151 [math.NT].
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.
Raconte moi … une période. Gazette des Mathématiciens, Société Mathématique de France, No 143 Janvier 2015, 75-78. 5p.
On the abc conjecture and some of its consequences. Mathematics in 21st Century, 6th World Conference, Lahore, March 2013, (P. Cartier, A.D.R. Choudary, M. Waldschmidt Editors), Springer Proceedings in Mathematics and Statistics 98 (2015), 211-230.
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
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: 3.2 Mo, 206 p.
print pdf: 1.7 Mo, 27 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 Brahmagupta-Fermat-Pell Equation.
screen pdf: 3.3 Mo, 196 p.
print pdf: 3.3 Mo, 21 p.
update 2016
On the abc conjecture and some of its consequences.
screen pdf: 2.7 Mo, 155 p.
print pdf: 1.5 Mo, 25 p.
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
An elementary introduction to error correcting codes.
powerpoint file (161 p., 4.3 Mo)
pdf file (44 p., 5.5 Mo).
update 2016
An elementary introduction to cryptography.
powerpoint file (95 p., 3.6 Mo)
pdf file (24 p., 6.2 Mo).
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
Linear recurrence sequences, exponential polynomials and Diophantine approximation.
screen pdf 3.1 Mo, 100p.
print pdf 1.8 Mo, 14p.
update 2016
See also
Linear recurrence sequences: an introduction.
screen pdf 9.3 Mo, 138p.
print pdf 9.3 Mo, 19p.
update 2015
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
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
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 2016
Introduction à la cryptographie.
fichier powerpoint, 3,4 Mo, 89 pages
fichier pdf, version à imprimer, 6,2 Mo, 23 pages.
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
introduction aux codes correcteurs d’erreurs
fichier ppt, 4 Mo, 164 p.
fichier pdf, version à imprimer:
5,9 Mo, 41p.
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