Équations différentielles -adiques. Croissance des solutions, factorisation, indice
Équations différentielles sur un corps de fonctions algébriques
On étend une partie de la théorie de la structure de Frobenius faible des équations différentielles -adiques au cas où les coefficients sont des fonctions algébriques.
Equations in the Hadamard ring of rational functions
Let be a number field. It is well known that the set of recurrencesequences with entries in is closed under component-wise operations, and so it can be equipped with a ring structure. We try to understand the structure of this ring, in particular to understand which algebraic equations have a solution in the ring. For the case of cyclic equations a conjecture due to Pisot states the following: assume is a recurrence sequence and suppose that all the have a root in the field ; then (after...
Equations with equivalent roots
Equazioni differenziali -adiche e interpolazione -adica di formule classiche
We shortly introduce non-archimedean valued fields and discuss the difficulties in the corresponding theory of analytic functions. We motivate the need of -adic cohomology with the Weil Conjectures. We review the two most popular approaches to -adic analytic varieties, namely rigid and Berkovich analytic geometries. We discuss the action of Frobenius in rigid cohomology as similar to the classical action of covering transformations. When rigid cohomology is parametrized by twisting characters,...
Equivalence classes of sets of functions over a finite field
Equivalence of Bases in Non-archimedean Banach Spaces
Equivalence of bases in non-Archimedean Banach spaces.
Erblich euklidische Körper.
Ergänzung zu einer Arbeit von Hellmuth Kneser über den Fundamentalsatz der Algebra.
Errata to "On reducible trinomials" (Dissertationes Mathematicae 329 (1993))
Errata to "On the fundamental theorem of algebra" (COLLOQ. MATH. 73 (1997), 193-194)
Errata to the paper "A characterization of locally compact fields of zero characteristic" Fundamenta Mathematicae 76 (1972), pp. 149-155
Errata to the paper "Remarks of the elementary theories of formal and convergent power series" Fundamenta Mathematicae 105 (1980), pp. 229-239
Errata-Corrige : “Some sporadic groups as Galois groups II”
Erratum. Quelques remarques sur le -invariant
Erratum to "Fields of surreal numbers and exponentiation" (Fund. Math. 167 (2001), 173-188)
Erratum to "Locally unbounded topological fields with topological nilpotents" (Fund. Math. 173 (2002), 21-32)
Erratum to "Unique range sets in positive characteristic" (Acta Arith. 103 (2002), 169-189)
Erweiterte Fassung eines von Clebsch aufgestellten Uebertragungsprincips und deren Anwendung