A basis for Numerical Functionals
A factorization theorem for the polar of a curve with two branches
A note on formal groups and zeta functions.
A note on formal power series
In this note we investigate a relationship between the boundary behavior of power series and the composition of formal power series. In particular, we prove that the composition domain of a formal power series is convex and balanced which implies that the subset consisting of formal power series which can be composed by a formal power series possesses such properties. We also provide a necessary and sufficient condition for the superposition operator to map into itself or to map into...
A note on power invariant rings.
A note on the one-dimensional systems of formal equations
On this paper we compute the numerical function of the approximation theorem of M. Artin for the one-dimensional systems of formal equations.
About the Witt rings of function fields of algebroid quadratic quasihomogeneous surfaces.
A-Endomorphismes de A(X).
Algebraic methods in the theory of theta functions
Algèbres de Hadamard
Algèbres de Hadamard
An extension of Iwasawa's theorem on finitely generated modules over power series rings.
An extension to fields of positive characteristic of Mather's construction of the Thom-Boardman sequence
Appendice à l'article précédent par Ph. Nuss: Une formule de Künneth pour la décomposition de l'homologie cyclique des algèbres commutatives.
Arithmetic functions over rings with zero divisors.
Automata and the arithmetic of formal power series
Bounds for quotients in rings of formal power series with growth constraints
In rings of formal power series in several variables whose growth of coefficients is controlled by a suitable sequence (such as rings of Gevrey series), we find precise estimates for quotients F/Φ, where F and Φ are series in such that F is divisible by Φ in the usual ring of all power series. We give first a simple proof of the fact that F/Φ belongs also to , provided is stable under derivation. By a further development of the method, we obtain the main result of the paper, stating that...
Calculations about multiplicities.
One gives a formula for the calculation of the local intersection multiplicity index of analytic varieties, analogous to the Bézout formula in the case of algebraic varieties in the projective space, in the case of normal crossings. One obtains also a recurrent process for the calculation of the local intersection multiplicity index of plane analytic curves.
Characterization of rational and algebraic power series
Characterizations of Lambek-Carlitz type
We give Lambek-Carlitz type characterization for completely multiplicative reduced incidence functions in Möbius categories of full binomial type. The -analog of the Lambek-Carlitz type characterization of exponential series is also established.