Annihilating polynomials for quadratic forms.
Annihilators for the class group of a cyclic field of prime power degree
Annihilators of minus class groups of imaginary abelian fields
For certain imaginary abelian fields we find annihilators of the minus part of the class group outside the Stickelberger ideal. Depending on the exact situation, we use different techniques to do this. Our theoretical results are complemented by numerical calculations concerning borderline cases.
Annihilators of the class group of a compositum of quadratic fields
This paper is devoted to a construction of new annihilators of the ideal class group of a tamely ramified compositum of quadratic fields. These annihilators are produced by a modified Rubin’s machinery. The aim of this modification is to give a stronger annihilation statement for this specific type of fields.
Announcement of errors in "The Eichler Commutation Relation for theta series with spherical harmonics" (Acta Arith. 63 (1993), 233-254)
Annulation de la cohomologie cuspidale de sous-groupes de congruence de GL...(...).
Annulation de T-filtres par des fonctions croulantes
Annulation du groupe des -classes généralisées d’une extension abélienne réelle de degré premier à
Soit un nombre premier impair. Soit une extension abélienne réelle de de degré premier à et soit son groupe de Galois; soit () un caractère -adique irréductible de . Soit la -extension abélienne maximale de non ramifiée en dehors de et soit le -module Gal ; (la -composante de ) est un module fini sur l’anneau des entiers de (corps des valeurs sur d’un caractère de degré 1 divisant ). On construit explicitement pour tout un élément de qui annule le module...
Another 80-dimensional extremal lattice
We show that the unimodular lattice associated to the rank 20 quaternionic matrix group is a fourth example of an 80-dimensional extremal lattice. Our method is to use the positivity of the -series in conjunction with an enumeration of all the norm 10 vectors. The use of Aschbacher’s theorem on subgroups of finite classical groups (reliant on the classification of finite simple groups) provides one proof that this lattice is distinct from the previous three, while computing the inner product...
Another Computation of .... .
Another generalization of Euler's theorem
Another Look at p-Adic L-Functions for Totally Real Fields.
Another look at real quadratic fields of relative class number 1
The relative class number of a real quadratic field K = ℚ (√m) of discriminant d is defined to be the ratio of the class numbers of and , where denotes the ring of integers of K and is the order of conductor f given by . R. Mollin has shown recently that almost all real quadratic fields have relative class number 1 for some conductor. In this paper we give a characterization of real quadratic fields with relative class number 1 through an elementary approach considering the cases when...
Another note on Hardy-Littlewood's theorem
Another proof of Iwasawa's class number formula
Another relation between π, e, γ and ζ(n).
Another simple proof of the quintuple product identity.
Another smallest part function related to Andrews' spt function
We offer some relations and congruences for two interesting spt-type functions, which together form a relation to Andrews' spt function.
Anticyclotomic Iwasawa theory of CM elliptic curves
We study the Iwasawa theory of a CM elliptic curve in the anticyclotomic -extension of the CM field, where is a prime of good, ordinary reduction for . When the complex -function of vanishes to even order, Rubin’s proof of the two variable main conjecture of Iwasawa theory implies that the Pontryagin dual of the -power Selmer group over the anticyclotomic extension is a torsion Iwasawa module. When the order of vanishing is odd, work of Greenberg show that it is not a torsion module. In...
Anti-cyclotomic Katz -adic -functions and congruence modules