Results 11 to 20 of about 290 (42)

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

Deformations of Theta Integrals and A Conjecture of Gross-Zagier

Forum of Mathematics, Sigma
In this paper, we complete the proof of the conjecture of Gross and Zagier concerning algebraicity of higher Green functions at a single CM point on the product of modular curves. The new ingredient is an analogue of the incoherent Eisenstein series over
Jan H. Bruinier, Yingkun Li, Tonghai Yang   +2 more
doaj   +1 more source

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

Examples of abelian surfaces with everywhere good reduction [PDF]

, 2015
We describe several explicit examples of simple abelian surfaces over real quadratic fields with real multiplication and everywhere good reduction. These examples provide evidence for the Eichler-Shimura conjecture for Hilbert modular forms over a real ...
Dembele, Lassina, Kumar, Abhinav
core   +2 more sources

Kodaira–Spencer isomorphisms and degeneracy maps on Iwahori-level Hilbert modular varieties: the saving trace

Forum of Mathematics, Sigma
We consider integral models of Hilbert modular varieties with Iwahori level structure at primes over p, first proving a Kodaira–Spencer isomorphism that gives a concise description of their dualizing sheaves. We then analyze fibres of the degeneracy maps
Fred Diamond
doaj   +1 more source

Curves in Hilbert modular varieties

, 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

L-invariants for cohomological representations of PGL(2) over arbitrary number fields

Forum of Mathematics, Sigma
Let $\pi $ be a cuspidal, cohomological automorphic representation of an inner form G of $\operatorname {{PGL}}_2$ over a number field F of arbitrary signature. Further, let $\mathfrak {p}$ be a prime of F such that G is split at
Lennart Gehrmann, Maria Rosaria Pati
doaj   +1 more source