EMS Newsletter March 2019
Interview by Ulf Persson published in the
Newsletter of the European Mathematical Society, March 2019, issue 111, p. 23-26.
Le Podcast de la culture mathématique: Trajectoires #18: Nombres Transcendants.
Archives from January 2009 till now.
February 17 - 28, 2020. Yogyakarta, Indonesia
CIMPA research school
Group Actions in Arithmetic and Geometry.
Course : "Finite fields and number theory" with Francesco Pappalardi.
March 13, 2020. UNESCO, Paris.
The International Day of Mathematics (IDM).
March 16 - 28, 2020: Arba Minch (Ethiopia)
Arba Minch University.
CIMPA Course on Introduction to algebraic geometry.
April 3 - 4, 2020.
Annual meeting of the
Committee for the Developing Countries (CDC) of the
European Mathematical Society (EMS)
April 19 - 25, 2020. Mathematisches Forschungsinstitute Oberwolfach.
Diophantische Approximationen
May 6 - 8 2020, Roma.
The sixth mini symposium of the Roman Number Theory Association.
25 - 29 mai 2020. Nancy
SMF 2020: Troisième congrès national de la SMF.
June 2020, Ottawa (Canada)
Université d'Ottawa,
Département de mathématiques et de statistique.
November 16 - 20, 2020. Lahore (Pakistan)
University of the Punjab,
Department of Mathematics
- National Mathematical Society of Pakistan.
A course on Interpolation formulae for analytic functions.
November 30 - December 6, 2020. Mumbai (India).
UM-DAE Centre for Excellence in Basic Sciences (CEBS).
December 7 - 11, 2020, Port Moresby, Papua New Guinea.
The Third International Conference on Pure and Applied Mathematics
ICPAM3, Pacific Adventist University. "Mathematical Contributions to the building of a Healthy, Wealthy, Wise, Smart, Fair and Happy Nation."
December 11 - 14, 2020, Cochin (India)
International Conference on Number theory and Discrete Mathematics. Organized by the
Ramanujan Mathematical Society.
Rajagiri School of Engineering & Technology.
May 10-15, 2021, Marina di San Gregorio, Patù (Lecce), Italy
Leuca2021 Celebrating Claude Levesque's and Michel Waldschmidt's 75th birthdays.
On transcendental entire functions with infinitely many derivatives taking integer values at two points.
28 pages. Submitted.
arXiv: 1912.00173 [math.NT].
On transcendental entire functions with infinitely many derivatives taking integer values at finitely many points.
19 pages. Submitted.
arXiv: 1912.00174 [math.NT].
Avec
Etienne Fouvry,
Sur la représentation des entiers par des formes cyclotomiques de grand degré. 25 p. À paraître au
Bulletin de la Société Mathématique de France.
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
The square root of 2, the Golden ratio and the Fibonacci sequence.
screen pdf 6.6 Mo, 148p.
print pdf 4 Mo, 22p.
update 2019
Integer valued entire functions.
screen pdf 2.3 Mo, 171p.
print pdf 1.1 Mo, 17p.
update 2019
Lidstone series, generalisations and arithmetic applications.
screen pdf 764 Ko, 131p.
print pdf 792 Ko, 15p.
update 2019
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 2019
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