Caractérisation des quenines et leur représentation spirale

Mathématiques et sciences humaines. Mathematics and social sciences

Dumas, Jean-Guillaume¹ 

关键词: perecquine;    primitive root;    quenine;    sestina;    spiral;    Queneau-Daniel permutation;   

DOI  :  10.4000/msh.10946

学科分类：数学（综合）

来源: College de France * Ecole des Hautes Etudes en Sciences Sociales (E H E S S)

【 摘 要 】

The Raymond Queneau numbers are the integers n for which the quenine (the spiral permutation sending even numbers to their halves and odd numbers to their opposites added to n) is of order n. In this note, we study the characterization of Queneau numbers, since previous charac-terizations one, to our knowledge incomplete. We also propose a new graphical representation, of spiral shape, both of the quenines with primitive root distinct from 2 and of the spinines, which generalize quenines by Jacques Roubaud's erasing technique. We then extend this representation to pérecquines.

【 授权许可】

Unknown