L.M.P.A
Laboratoire de Mathématiques Pures et Appliquées
Joseph Liouville

## Philippe Ryckelynck

• Grade : Maître de Conférences
• Equipe : Algèbre
LMPA
Centre Universitaire de la Mi-Voix
50 rue F. Buisson
CS80699
62228 Calais
• Bureau : C130
• Email : Philippe.Ryckelynck@univ-littoral.fr
• Téléphone : 03.21.46.55.96

## Publications

### Articles de revues

1. On the functional equation $\displaystyle \alpha\bf{u}+\mathcal{C}\star(\chi \bf{u})=\bf{f}$ ( and ), In North-W. Eur. J. of Math., volume 4, 1-19, .
2. Quadratic choreographies ( and ), In Appl. Numer. Math., volume 75, 108-122, . [pdf]
3. Discrete Calculus of Variations for Quadratic Lagrangians ( and ), In Commun. Math. Anal., volume 15, 44-60, .
4. Producing dense packings of cubes ( and ), In Discrete Math., volume 308, 5230-5245, . [pdf]
5. Square packings in the flat torus ( and ), In Geombinatorics, volume 17, 141-156, .
6. On the maximal inflation of two squares ( and ), In Forum Geom., volume 5, 23-31, .
7. Improved dense packings of congruent squares in a square ( and ), In Discrete Comput. Geom., volume 34, 97-109, . [pdf]
8. On symmetric polynomials having triangular automorphisms ( and ), In Aequationes Math., volume 67, 160-168, . [pdf]
9. On the invariant fields and rings of some groups of polynomial automorphisms ( and ), In Comm. Algebra, volume 31, 2053-2065, . [pdf]
10. On the kernel of some derivations of $K(x_1,\dots,x_n)$ ( and ), In Comm. Algebra, volume 30, 2505-2510, . [pdf]
11. Configurations isotopes en élasticité non linéaire (), In C. R. Acad. Sci. Paris Sér. I Math., volume 310, 489-492, .

### Rapports

1. Discrete calculus of variation for homographic configurations in celestial mechanics ( and ), Technical report 507, LMPA, .
2. On the functional equation $\displaystyle \alpha \mathbf{u}+\mathcal{C}\star(\chi \mathbf{u})=\mathbf{f}$ ( and ), Technical report 494, LMPA, .
3. Quadratic choreographies ( and ), Technical report 459, LMPA, .
4. Discrete calculus of variation for oscillatory quadratic lagrangians ( and ), Technical report 430, LMPA, .
5. Square Packings in the Flat Torus ( and ), Technical report, LMPA, .
6. Dense packings of congruent cubes in a sphere ( and ), Technical report, LMPA, .
7. On the maximal inflation of two squares ( and ), Technical report, LMPA, .
8. Optimal dense packings of congruent squares in a square : an approach via the maximal separation problem ( and ), Technical report, LMPA, .
9. On the spectrum of bivariate polynomials ( and ), Technical report, LMPA, .
10. Algebraic independancy of factors of generalized difference polynomials ( and ), Technical report, LMPA, .
11. On the kernel of some derivations of $K(x1,...,xn)$ ( and ), Technical report, LMPA, .
12. On the invariant fields and rings of some groups of polynomial automorphisms ( and ), Technical report, LMPA, .

juin 2018 :