An explicit Waldspurger formula for Hilbert modular forms
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
The Borcherds lift for indefinite unitary groups, previously constructed by the author, is examined here in greater detail for the special case of the group U(1,1).
Hofmann, Eric
core +1 more source
Nonvanishing of twists of $L$-functions attached to Hilbert modular forms
We describe algorithms for computing central values of twists of $L$-functions associated to Hilbert modular forms, carry out such computations for a number of examples, and compare the results of these computations to some heuristics and predictions ...
Ryan, Nathan C. +2 more
core +1 more source
Hecke operators on Hilbert-Siegel modular forms
We define Hilbert-Siegel modular forms and Hecke "operators" acting on them. As with Hilbert modular forms, these linear transformations are not linear operators until we consider a direct product of spaces of modular forms (with varying groups), modulo ...
Caulk, Suzanne, Walling, Lynne H.
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On the Hecke Eigenvalues of Maass Forms [PDF]
Let $\phi$ denote a primitive Hecke-Maass cusp form for $\Gamma_o(N)$ with the Laplacian eigenvalue $\lambda_\phi=1/4+t_{\phi}^2$. In this work we show that there exists a prime $p$ such that $p\nmid N$, $|\alpha_{p}|=|\beta_{p}| = 1$, and $p\ll(N(1+|t_{\
Luo, Wenzhi, Zhou, Fan
core
Impact of COVID-19 on health services utilization in Province-2 of Nepal: a qualitative study among community members and stakeholders. [PDF]
Singh DR +7 more
europepmc +1 more source
On non-vanishing and sign changes of the Fourier coefficients of Hilbert cusp forms
In this article, we study (simultaneous) non-vanishing, (simultaneous) sign changes of Fourier coefficients of (two) Hilbert cusp forms ...
Dalal, Tarun, Kumar, Narasimha
core
Systematic review of structural and functional neuroimaging studies of cannabis use in adolescence and emerging adulthood: evidence from 90 studies and 9441 participants. [PDF]
Lichenstein SD +10 more
europepmc +1 more source
Estradiol Affects Epstein-Barr Virus Reactivation-Induced Thyrotropin Receptor Antibody and Immunoglobulin Production in Graves' Disease Patients and Healthy Controls. [PDF]
Hara S +6 more
europepmc +1 more source
Lkb1 deletion in murine B lymphocytes promotes cell death and cancer. [PDF]
Souroullas GP +3 more
europepmc +1 more source

