Christian Ballot



Adresse :
Département de Mathématiques
Laboratoire de Mathématiques Nicolas Oresme
Université de Caen
Campus II, Sciences 3
Boulevard du Maréchal Juin
BP 5186
14032 Caen Cedex France



Bureau :
Science 3, premier étage, Bureau 116.
Numéro de téléphone :
Bureau : 02 31 56 74 41
Fax: 02 31 56 73 20
Email:
christian.ballot@unicaen.fr


Research

Areas of research work

Prime factors of certain linear recurring sequences;
Computation, or estimation of prime densities in the rational integers, or in polynomial rings over finite fields;
Special integer sequences such as that of the Fibonacci, Lucas, Cullen numbers etc;
Theory of densities and prime densities;
Theory of Lucas sequences and generalizations.

Some recent papers

Divisibility of Fibonomials and Lucasnomials via a General Kummer Rule. Fibonacci Quarterly, 53 no.3 (2015). [ http://www.fq.math.ca/53-3.html]

The Congruence of Wolstenholme for Generalized Binomials Related to Lucas Sequences. Journal of Integer Sequences, Vol. 18(2015), Article 15.5.4.

[Free online access; https://cs.uwaterloo.ca/journals/JIS/vol18.html]

On a Congruence of Kimball and Webb Involving Lucas Sequences. Journal of Integer Sequences, Vol. 17(2014), Article 14.1.3. [Free online access]

On Zeckendorf and Base b Digit Sums. Fibonacci Quarterly, 51 no.4 (2013).

On the sumset of the primes and a linear recurrence (with coauthor Florian Luca). Acta Arithmetica 161.1 (2013).

Lucas sequences with cyclotomic root field. Dissertationes Mathematicae 490 (2013), 92 pp. (http://journals.impan.gov.pl/dm/)

A Further Generalization of a Congruence of Wolstenholme. Journal of Integer Sequences, Vol. 15(2012), Article 12.8.6. [Oct. 2012. Free online access]

On Murata densities (with coauthor Mireille Car). International Journal of Number Theory, Vol. 7, no.7 (2011).


Enseignement

Cours 2014-2015

Premier semestre

Cours d'analyse pour étudiants en mathématiques seconde année (avec Roland Vergnioux).

TD Probabilité étudiants de MIASHS 1ère année (avec Emmanuelle Féaux, David Vauclair et Yong Hu)

Mathématiques pour les étudiants de seconde année en sciences économiques (avec Shmuel Zelikson and Khaled Abdelhamid).

Second semestre

Discrete Mathematics for second year computer science and math students.

Analysis and Linear Algebra for first year economics students (with Abderrahmane Ziad).

Responsibilities

Erasmus Coordinator for the Mathematics Department (since September 2008).

In charge of second year mathematics students (since September 2013).
( Partiel analyse S3 Octobre 2012 : pdf )

Board Member of the Fibonacci Association (since June 2010).

Organization of the 24th Rencontres arithmétiques de Caen with Vincent Bosser and Thierry de la Rue (June 2013).

Pour Jonathan pdf