Ramanujan-Identitäten zur Reziproken der Jacobischen Funktion .. .
Ramanujan's class invariants and cubic continued fraction
Ramanujan's class invariants, Kronecker's limit formula and modular equations (III)
Ramanujan's cubic continued fraction revisited
Ramanujan's evaluations of Rogers-Ramanujan type continued fractions at primitive roots of unity
Ramanujan's formulas for the explicit evaluation of the Rogers-Ramanujan continued fraction and theta-functions
Ramanujan's identities for eta-functions.
Ramanujan's modular equations
Ramanujan's unpublished manuscript on the partition and tau functions with proofs and commentary.
Ramdom variables related to distributions of sums modulo an integer.
Ramification and moduli spaces of finite flat models
We determine the type of the zeta functions and the range of the dimensions of the moduli spaces of finite flat models of two-dimensional local Galois representations over finite fields. This gives a generalization of Raynaud’s theorem on the uniqueness of finite flat models in low ramifications.
Ramification groups and Artin conductors of radical extensions of
We study the ramification properties of the extensions under the hypothesis that is odd and if than either or ( and are the exponents with which divides and ). In particular we determine the higher ramification groups of the completed extensions and the Artin conductors of the characters of their Galois group. As an application, we give formulas for the -adique valuation of the discriminant of the studied global extensions with .
Ramification groups in Artin-Schreier-Witt extensions
Let be a local field of characteristic . The aim of this paper is to describe the ramification groups for the pro- abelian extensions over with regards to the Artin-Schreier-Witt theory. We shall carry out this investigation entirely in the usual framework of local class field theory. This leads to a certain non-degenerate pairing that we shall define in detail, generalizing in this way the Schmid formula to Witt vectors of length . Along the way, we recover a result of Brylinski but with...
Ramification in p-Adic Lie Extensions.
Ramification in quartic cyclic number fields generated by
If is the splitting field of the polynomial and is a rational prime of the form , we give appropriate generators of to obtain the explicit factorization of the ideal , where is a positive rational prime. For this, we calculate the index of these generators and integral basis of certain prime ideals.
Ramification in the Coates-Wiles tower.
Ramification modérée dans les les corps de nombres de degré premier
Ramification of local fields with imperfect residue fields. II.
Ramification theory in non-abelian local class field theory
Ramifications minimales
Nous appliquons à la notion d’extension (cyclique de degré ) à ramification minimale, les techniques de “ réflexion ” qui permettent une caractérisation très simple de ces extensions à l’aide d’un corps gouvernant.