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.
New: Illustrated Music vidéo of Narayana’s Cows by Tom Johnson.
Archives from January 2009 till now.
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 3 (JNU), 4 (ISI), 5 (ISI) 2018: three lectures on the unity of mathematics: examples from transcendental number theory.
October 8 - 11:
Harish-Chandra Research Institute (HRI), Allahabad.
International conference on class groups of number fields and related topics ICCGNFRT 2018.
October 29 - November 9, 2018: Vientiane (Laos)
October 31 - November 4:
The 11th International Conference on Mathematics and Mathematics Education in Developing Countries
October 31, preconference workshop: introduction to cryptography and error correcting codes.
November 2, Keynote address : the unity of mathematics - examples from transcendental number theory.
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 24-27:
The Institute of Mathematical Sciences (IMSc), Chennai.
November 27 - 29:
Department of Mathematics,
Ramakrishna Mission Vivekananda University (RKMVU), Belur Math, Howrah, Kolkata (India).
Lecture on Nov. 27, 2018.
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.
The Kerala School of Mathematics (KSoM), Kozhikode, Kerala. Conference on Number Theory.
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.
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].
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.
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