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The deepest input will be Lemma 2.1 be- low which only requires pre-Prime Number Theorem elementary methods for its proof (in Tenenbaum’s [11] introductory book on analytic
D’apr`es [B¨ oM´e], elles sont reli´ees `a des conjecture arithm´etiques classiques (Conjecture de Vandiver, conjecture de Greenberg).. Dans cet article, nous introduisons un
In Section 5 we use Theorem 4.1 to prove that if an elemen- tary p-group and an elementary q-group have the same system of sets of lengths, then they are, apart from one already
(Indeed, if the residue class field k has characteristic 0, and hence K ′ /K can only be tamely ramified, the proof of Theorem 2.2 is relatively easy.) Recent work of Lehr and
The condition for attainment in the upper bound in Theorem 1.5 is proved by using the nite reection group structure which is an algebraic approach via a result of Niezgoda [11].
Keywords: Malliavin calculus, Clark-Ocone formula, Brownian local time, Knight theorem, central limit theorem, Tanaka
A Central Limit Theorem for non-commutative random variables is proved using the Lindeberg method.. The theorem is a generalization of the Central Limit Theorem for free random
(1983) Semigroups of Linear Operators and Applications to Partial Differential Equations. (1994) Some Formulae and Estimates for the Derivative of Diffusion
