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Higher coherent cohomology and p -adic modular forms of singular weights

Duke mathematical journal, 2020
— We investigate the p-adic properties of higher coherent cohomology of automorphic vector bundles of singular weights on the Siegel threefolds.
V. Pilloni
semanticscholar   +1 more source

A New Method of Constructing p-adic L-functions Associated with Modular Forms

, 2002
We give a new method of constructing admissible p-adic measures associated with modular cusp eigenforms, starting from distributions with values in spaces of modular forms.
A. Panchishkin
semanticscholar   +1 more source

Hecke fields of Hilbert modular analytic families

, 2014
Take a non CM p-slope 0 analytic family of Hilbert modular forms of level Np∞ for a prime p of the base totally real field F . We prove that the Hecke field over Q[μp∞ ] of members of the family grows indefinitely large over any infinite set of ...
H. Hida
semanticscholar   +1 more source

Spherical Designs Attached to Extremal Lattices and the Modulo p Property of Fourier Coefficients of Extremal Modular Forms

, 2006
A theorem of Venkov says that each nontrivial shell of an extremal even unimodular lattice in R with 24 | n is a spherical 11design. It is a difficult open question whether there exists any 12-design among them.
E. Bannai   +3 more
semanticscholar   +1 more source

CONTROL THEOREMS OF COHERENT SHEAVES ON SHIMURA VARIETIES OF PEL TYPE

Journal of the Institute of Mathematics of Jussieu, 2002
H. Hida
semanticscholar   +1 more source

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