Results 21 to 30 of about 1,096 (47)

Foliations on modular curves

open access: yes, 2016
It is proved, that a foliation on a modular curve given by the vertical trajectories of holomorphic differential corresponding to the Hecke eigenform is either the Strebel foliation or the pseudo-Anosov foliation.Comment: to appear Bulletin of the ...
F Diamond   +5 more
core   +1 more source

Non-vanishing of $L$-functions associated to cusp forms of half-integral weight

open access: yes, 2013
In this article, we prove non-vanishing results for $L$-functions associated to holomorphic cusp forms of half-integral weight on average (over an orthogonal basis of Hecke eigenforms). This extends a result of W.
G. Shimura   +7 more
core   +1 more source

The weight reduction of mod $p$ Siegel modular forms for $GSp_4$

open access: yes, 2019
In this paper we investigate the (classical) weights of mod $p$ Siegel modular forms of degree 2 toward studying Serre's conjecture for $GSp_4$. We first construct various theta operators on the space of such forms a la Katz and define the theta cycles ...
Yamauchi, Takuya
core  

Computations of vector-valued Siegel modular forms

open access: yes, 2012
We carry out some computations of vector valued Siegel modular forms of degree two, weight (k,2) and level one. Our approach is based on Satoh's description of the module of vector-valued Siegel modular forms of weight (k, 2) and an explicit description ...
Ghitza, Alexandru   +2 more
core  

Conjectures about discriminants of Hecke algebras at prime level

open access: yes, 2003
We study p-divisibility of discriminants of Hecke algebras associated to spaces of cusp forms of prime level. We make a precise conjecture about the indexes of Hecke algebras in their normalisation which implies (if true) the conjecture that there are no
Calegari, Frank, Stein, William
core   +2 more sources

p-Adic coupling of mock modular forms and shadows. [PDF]

open access: yesProc Natl Acad Sci U S A, 2010
Guerzhoy P, Kent ZA, Ono K.
europepmc   +1 more source

Adjoint modular Galois representations and their Selmer groups. [PDF]

open access: yesProc Natl Acad Sci U S A, 1997
Hida H, Tilouine J, Urban E.
europepmc   +1 more source
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Gram points in the theory of zeta-functions of certain cusp forms

Journal of Mathematical Analysis and Applications, 2021
Antanas Laurincikas
exaly  

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