Examples of Iwasawa invariants
Examples of Iwasawa invariants, II
Excellent connections in the motives of quadrics
In this article we prove the conjecture claiming that the motive of a real quadric is the “most decomposable” among anisotropic quadrics of given dimension over all fields. This imposes severe restrictions on the motive of arbitrary anisotropic quadric. As a corollary we estimate from below the rank of indecomposable direct summand in the motive of a quadric in terms of its dimension. This generalizes the well-known Binary Motive Theorem. Moreover, we have the description of the Tate motives involved....
Excellent special orthogonal groups.
Exceptional congruences for powers of the partition function
Exceptional groups of Lie type as Galois groups.
Exceptional modular form of weight 4 on an exceptional domain contained in C27.
Resnikoff [12] proved that weights of a non trivial singular modular form should be integral multiples of 1/2, 1, 2, 4 for the Siegel, Hermitian, quaternion and exceptional cases, respectively. The θ-functions in the Siegel, Hermitian and quaternion cases provide examples of singular modular forms (Krieg [10]). Shimura [15] obtained a modular form of half-integral weight by analytically continuing an Eisenstein series. Bump and Bailey suggested the possibility of applying an analogue of Shimura's...
Exceptional sets in Waring's problem: two squares and s biquadrates
Let denote the number of representations of the positive number n as the sum of two squares and s biquadrates. When or 4, it is established that the anticipated asymptotic formula for holds for all with at most exceptions.
Exceptional units and cyclic resultants
Exceptional units and numbers of small Mahler measure.
Exceptions of integral quadratic forms.
Exemples de plongements d'extensions galoisiennes
Exercises dyadiques.
Existence and reduction of generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials
One can find in the mathematical literature many recent papers studying the generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials, defined by means of generating functions. In this article we clarify the range of parameters in which these definitions are valid and when they provide essentially different families of polynomials. In particular, we show that, up to multiplicative constants, it is enough to take as the “main family” those given by and as an “exceptional family”...
Existence de fonctions croulantes
Existence et construction des extensions galoisiennes et non-abéliennes de degré 8 d'un corps de caractéristique differente de 2.
Existence et équidistribution des matrices de dénominateur dans les groupes unitaires et orthogonaux
Soit un groupe défini sur les rationnels, simplement connexe, -quasisimple et compact sur . On étudie des suites de sous-ensembles des points rationnels de définis par des conditions sur leur projection dans le groupe des adèles finies de . Nous montrons dans ce cadre un résultat d’équirépartition vers la probabilité de Haar sur le groupe des points réels. On utilise pour cela des propriétés de mélange de l’action du groupe des points adéliques sur l’espace . Pour illustrer ce résultat,...
Existence of a non-entire twist for a class of L-functions
Existence of an indecomposable positive quadratic form in a given genus of rank at least 14
Existence of an unramified cyclic extension and congruence conditions