Results 11 to 20 of about 281 (35)
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.
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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
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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
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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
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, 2013 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
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Nonvanishing of twists of $L$-functions attached to Hilbert modular forms
, 2014 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
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Hecke operators on Hilbert-Siegel modular forms
, 2007 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]
, 2014 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
On non-vanishing and sign changes of the Fourier coefficients of Hilbert cusp forms
, 2017 In this article, we study (simultaneous) non-vanishing, (simultaneous) sign changes of Fourier coefficients of (two) Hilbert cusp forms ...
Dalal, Tarun, Kumar, Narasimha
core
Impact of COVID-19 on health services utilization in Province-2 of Nepal: a qualitative study among community members and stakeholders. [PDF]
BMC Health Serv Res, 2021 Singh DR +7 more
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