Results 11 to 20 of about 271 (30)

On Serre's uniformity conjecture for semistable elliptic curves over totally real fields [PDF]

, 2015
Let $K$ be a totally real field, and let $S$ be a finite set of non-archimedean places of $K$. It follows from the work of Merel, Momose and David that there is a constant $B_{K,S}$ so that if $E$ is an elliptic curve defined over $K$, semistable outside
Anni, Samuele, Siksek, Samir
core   +5 more sources

Hyperbolicity of singular spaces [PDF]

, 2018
We study the hyperbolicity of singular quotients of bounded symmetric domains. We give effective criteria for such quotients to satisfy Green-Griffiths-Lang's conjectures in both analytic and algebraic settings.
Cadorel, Benoit, Rousseau, Erwan, Taji, Behrouz   +2 more
core   +3 more sources

Curves in Hilbert modular varieties [PDF]

, 2018
We prove a boundedness-theorem for families of abelian varieties with real multiplication. More generally, we study curves in Hilbert modular varieties from the point of view of the Green Griffiths-Lang conjecture claiming that entire curves in complex ...
Rousseau, Erwan, Touzet, Frédéric
core   +2 more sources

Elementary matrix decomposition and the computation of Darmon points with higher conductor [PDF]

, 2014
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Guitart, X., Masdeu, M.
core   +1 more source

Further refinement of strong multiplicity one for GL(2) [PDF]

, 2013
We obtain a sharp refinement of the strong multiplicity one theorem for the case of unitary non-dihedral cuspidal automorphic representations for GL(2).
Walji, Nahid
core   +1 more source

On modular signs [PDF]

, 2010
We consider some questions related to the signs of Hecke eigenvalues or Fourier coefficients of classical modular forms. One problem is to determine to what extent those signs, for suitable sets of primes, determine uniquely the modular form, and we give
E. KOWALSKI, Goldfeld, Iwaniec, J. WU, K. SOUNDARARAJAN, Kim, Lau, Murty, Sarnak, Shahidi, Tenenbaum, Tenenbaum, Tenenbaum, Y.-K. LAU   +13 more
core   +2 more sources

Equidistribution of signs for Hilbert modular forms of half-integral weight

, 2018
We prove an equidistribution of signs for the Fourier coefficients of Hilbert modular forms of half-integral weight. Our study focuses on certain subfamilies of coefficients that are accessible via the Shimura correspondence.
Kaushik, Surjeet, Kumar, Narasimha, Tanabe, Naomi   +2 more
core   +1 more source

Stability transitions for axisymmetric relative equilibria of Euclidean symmetric Hamiltonian systems [PDF]

, 2008
In the presence of noncompact symmetry, the stability of relative equilibria under momentum-preserving perturbations does not generally imply robust stability under momentum-changing perturbations.
Abraham R, Arnold V I, Bloch A, Claudia Wulff, Derks G, George W Patrick, Mark Roberts, Marsden J E, Meyer K R, Niederman L, van der Meer J-C, Weinstein A   +11 more
core   +3 more sources

On Borcherds products associated with lattices of prime discriminant

, 2003
We show that certain spaces of vector valued modular forms are isomorphic to spaces of scalar valued modular forms whose Fourier coefficients are supported on suitable progressions.
Bruinier, Jan H., Bundschuh, M.
core   +1 more source

An explicit Waldspurger formula for Hilbert modular forms

, 2018
We describe a construction of preimages for the Shimura map on Hilbert modular forms, and give an explicit Waldspurger type formula relating their Fourier coefficients to central values of twisted L-functions.
Sirolli, Nicolás, Tornaría, Gonzalo
core   +1 more source