Definitionen der Bernoulli-Polynome mit Hilfe ihrer Multiplikationstheoreme.
Démonstration directe du théorème d’addition de la fonction elliptique
Démonstration d’un théorème sur les périodes de la fonction elliptique
Determinant inequalities for sieved ultraspherical polynomials.
Développement en produit des fonctions et de Jacobi et recherche des valeurs de ces fonctions quand les périodes sont divisées par un nombre entier
Développements en séries des fonctions elliptiques et de leurs puissances
Développements, par rapport au module, des fonctions elliptiques et de leurs puissances
Diagonalization and rationalization of algebraic Laurent series
We prove a quantitative version of a result of Furstenberg [20] and Deligne [14] stating that the diagonal of a multivariate algebraic power series with coefficients in a field of positive characteristic is algebraic. As a consequence, we obtain that for every prime the reduction modulo of the diagonal of a multivariate algebraic power series with integer coefficients is an algebraic power series of degree at most and height at most , where is an effective constant that only depends on...
Die Fourier-Besselsche Function.
Die Landen'sche Transformation in ihrer Anwendung auf die Entwickelung der elliptischen Funktionen [Book]
Die Modulargleichungen der hyperelliptischen Functionen erster Ordnung für die Transformation dritten Grades
Double exponential estimate for the number of zeros of complete Abelian integrals and rational envelopes of linear ordinary differential equations with an irreducible monodromy group.
Double integrals on a weighted projective plane and Hilbert modular functions for ℚ (√5)
The aim of this paper is to give an explicit extension of classical elliptic integrals to the Hilbert modular case for ℚ (√5). We study a family of Kummer surfaces corresponding to the Humbert surface of invariant 5 with two complex parameters. Our Kummer surface is given by a double covering of the weighted projective space ℙ(1:1:2) branched along a parabola and a quintic curve. The period mapping for our family is given by double integrals of an algebraic function on chambers coming from an arrangement...