Multiplicities of mod p Galois representations.
Multiplicity estimates for certain pairs of functions involving Drinfeld modular forms
Multiplier systems
Multiplikatorensysteme der symplektischen Thetagruppe.
Multiplikatorsysteme und Charaktere Hermitescher Modulgruppen.
Multiplizitäten "unendlich-ferner" Spitzen.
Multi-Tensors of Diferential Forms on the Hilbert Modular Variety and on its Subvarieties.
ndependence of Modular Units on Tate Curves.
Near holomorphy of some automorphic forms at critical points.
Nearly Holomorphic Functions on Hermitian Symmetric Spaces.
Nearly ordinary deformations of irreducible residual representations
New examples of modular rigid Calabi-Yau threefolds.
The aim of this article is to present five new examples of modular rigid Calabi-Yau threefolds by giving explicit correspondences to newforms of weight 4 and levels 10, 17, 21 and 73.
New forms and Galois representations of octahedral type. (Formes primitives et représentations galoisiennes de type octaédral.)
New identities for the Rogers-Ramanujan functions
New models for the action of Hecke operators in spaces of Maass wave forms
Utilizing the theory of the Poisson transform, we develop some new concrete models for the Hecke theory in a space of Maass forms with eigenvalue on a congruence subgroup . We introduce the field so that consists entirely of algebraic numbers if .The main result of the paper is the following. For a packet of Hecke eigenvalues occurring in we then have that either every is algebraic over , or else will – for some – occur in the first cohomology of a certain space which is a...
New results on Ramanujan's function
Newforms and Functional Equations.
Newforms, inner twists, and the inverse Galois problem for projective linear groups
We reformulate more explicitly the results of Momose, Ribet and Papier concerning the images of the Galois representations attached to newforms without complex multiplication, restricted to the case of weight and trivial nebentypus. We compute two examples of these newforms, with a single inner twist, and we prove that for every inert prime greater than the image is as large as possible. As a consequence, we prove that the groups for every prime , and for every prime , are Galois groups...
Newforms of half-integral weight.
No -torsion on elliptic curves over cubic number fields
We complete our previous determination of the torsion primes of elliptic curves over cubic number fields, by showing that is not one of those.