Results 11 to 20 of about 44 (44)

Sur la méthode de Runge et les points entiers de certaines variétés modulaires de Siegel [PDF]

, 2017
We prove that for d ∈ {2, 3, 5, 7, 13} and K a quadratic (or rational) eld of discriminant D and Dirichlet character χ, if a prime p is large enough compared to D, there is a newform f ∈ S2(Γ0(dp 2)) with sign (+1) with respect to the Atkin-Lehner ...
LE FOURN, Samuel, Samuel Le Fourn
core   +1 more source

EULER SYSTEMS FOR HILBERT MODULAR SURFACES

Forum of Mathematics, Sigma, 2018
We construct an Euler system—a compatible family of global cohomology classes—for the Galois representations appearing in the geometry of Hilbert modular surfaces.
ANTONIO LEI, DAVID LOEFFLER, SARAH LIVIA ZERBES   +2 more
doaj   +1 more source

Mixed Siegel modular forms and special values of certain Dirichlet series

, 2019
Let phi : H-nr --> C be a Siegel modular form of weight l, and let tau (sigma) : H-n --> H-nr be an Eichler embedding, where H-n denotes the Siegel upper half space of degree n.
Choie, YJ, Lee, MH
core   +1 more source

Strongly tempered hyperspherical Hamiltonian spaces

Forum of Mathematics, Sigma
In this paper, we give a complete list of strongly tempered anomaly-free hyperspherical Hamiltonian spaces-those that are dual to symplectic vector spaces under the relative Langlands duality.
Zhengyu Mao, Chen Wan, Lei Zhang
doaj   +1 more source

Eichler–Selberg relations for singular moduli

Forum of Mathematics, Sigma
The Eichler–Selberg trace formula expresses the trace of Hecke operators on spaces of cusp forms as weighted sums of Hurwitz–Kronecker class numbers. We extend this formula to a natural class of relations for traces of singular moduli, where one views ...
Yuqi Deng, Toshiki Matsusaka, Ken Ono
doaj   +1 more source

Unitary Friedberg–Jacquet periods and anticyclotomic p-adic L-functions

Forum of Mathematics, Sigma
We extend the construction of the p-adic L-function interpolating unitary Friedberg–Jacquet periods in previous work of the author to include the p-adic variation of Maass–Shimura differential operators.
Andrew Graham
doaj   +1 more source

Arithmetic Transfer for inner forms of $GL_{2n}$

Forum of Mathematics, Sigma
We formulate Guo–Jacquet type fundamental lemma conjectures and arithmetic transfer conjectures for inner forms of $GL_{2n}$ . Our main results confirm these conjectures for division algebras of invariant $1/4$ and $3/4$ .
Qirui Li, Andreas Mihatsch
doaj   +1 more source

Eisenstein Cohomology for $\mathrm {GL}_N$ and the special values of Rankin–Selberg L-functions over a totally imaginary number field

Forum of Mathematics, Sigma
This article presents new rationality results for the ratios of critical values of Rankin–Selberg L-functions of $\mathrm {GL}(n) \times \mathrm {GL}(n')$ over a totally imaginary field $F.$ The proof is based on a cohomological ...
A. Raghuram
doaj   +1 more source

On coefficients of Poincaré series and single-valued periods of modular forms. [PDF]

Res Math Sci, 2020
Fonseca TJ.
europepmc   +1 more source

On effective determination of symmetric-square lifts

Open Mathematics, 2014
Sun Qingfeng
doaj   +1 more source